Questions on Word Problems: Miscellaneous Word Problems answered by real tutors!

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Question 155496: In a bicylce race, Lionel gives Robert a 500 m advantafe. Also, Lionel agrees to start 15 min after Rivert. If Lionel bikes at 17 km/h and Robert at 14 km/h, how long will it take lionel after he starts biking to overtake Robert?: In a bicylce race, Lionel gives Robert a 500 m advantafe. Also, Lionel agrees to start 15 min after Rivert. If Lionel bikes at 17 km/h and Robert at 14 km/h, how long will it take lionel after he starts biking to overtake Robert?
Click here to see answer by ankor@dixie-net.com(3949)

Question 155516: I have a solution of 3.1875 meters for this problem but it is in error. (I calculated height/distance from lamppost to the man as 8/15; calculated height/distance from man to end of shadow as 1.7/x). I appreciate your help!
A man is walking away from a lamppost with a light source 8 meters above the ground. The man is 1.7 meters tall. How long is the man's shadow when he is 15 meters from the lamppost?
Thanks, Linda: I have a solution of 3.1875 meters for this problem but it is in error. (I calculated height/distance from lamppost to the man as 8/15; calculated height/distance from man to end of shadow as 1.7/x). I appreciate your help!
A man is walking away from a lamppost with a light source 8 meters above the ground. The man is 1.7 meters tall. How long is the man's shadow when he is 15 meters from the lamppost?
Thanks, Linda
Click here to see answer by Earlsdon(3516)

Question 155387: Assume that the crust temperature increases by 30k for eack kilometer below earths's surface where the temperature is 300k. Calculate what the temperature would be at Earth's center if the rate of increase were the same below the crust as in it. The distance from the crust to the earth's center is 6371km: Assume that the crust temperature increases by 30k for eack kilometer below earths's surface where the temperature is 300k. Calculate what the temperature would be at Earth's center if the rate of increase were the same below the crust as in it. The distance from the crust to the earth's center is 6371km
Click here to see answer by ankor@dixie-net.com(3949)

Question 155319: HI! I REALLY LOVE SOLVING WORD PROBLEMS AND I LOVE MATH... I WOULD BE HAPPY TO KNOW THE SOLUTIONS FOR THE SAKE OF LEARNING IT.... THANK YOU
1.) VINCENT AND RICO CAN CEMENT A WALK TOGETHER FOR 7 DAYS. RICO LEAVES TO WORK LEAVING VINCENT TO FINISH THE REST IN 5 DAYS MORE. HOW LONG WILL IT TAKE VINCENT TO DO THE JOB ALONE?

2.1) IT TAKES A SMALLER FAUCET 5 HOURS TO FILL THE RESERVOIR WHILE A BIGGER FAUCET ONLY 2 HOURS. IF BOTH FAUCETS ARE OPENED SIMULTANEOUSLY, IN HOW MANY HOURS WILL THE RESERVOIR BE FILLED?
2.2) IF AFTER ONE HOUR THE BIGGER FAUCET IS CLOSED LEAVING THE SMALLER FAUCET TO FILL UP THE RESERVOIR, AFTER HOW MANY HOURS WILL IT TAKE FOR THE SMALLER FAUCET TO FILL THE RESERVOIR? : HI! I REALLY LOVE SOLVING WORD PROBLEMS AND I LOVE MATH... I WOULD BE HAPPY TO KNOW THE SOLUTIONS FOR THE SAKE OF LEARNING IT.... THANK YOU
1.) VINCENT AND RICO CAN CEMENT A WALK TOGETHER FOR 7 DAYS. RICO LEAVES TO WORK LEAVING VINCENT TO FINISH THE REST IN 5 DAYS MORE. HOW LONG WILL IT TAKE VINCENT TO DO THE JOB ALONE?

2.1) IT TAKES A SMALLER FAUCET 5 HOURS TO FILL THE RESERVOIR WHILE A BIGGER FAUCET ONLY 2 HOURS. IF BOTH FAUCETS ARE OPENED SIMULTANEOUSLY, IN HOW MANY HOURS WILL THE RESERVOIR BE FILLED?
2.2) IF AFTER ONE HOUR THE BIGGER FAUCET IS CLOSED LEAVING THE SMALLER FAUCET TO FILL UP THE RESERVOIR, AFTER HOW MANY HOURS WILL IT TAKE FOR THE SMALLER FAUCET TO FILL THE RESERVOIR?
Click here to see answer by stanbon(18044)

Question 155286: A machine produces 164 bolts in 20 minutes. At the same rate, how many bolts would be produced in 35 minutes?: A machine produces 164 bolts in 20 minutes. At the same rate, how many bolts would be produced in 35 minutes?
Click here to see answer by checkley77(1743)

Question 155253: The area of a trangle is 13.5 square meters. Find the base and height of the rectangle if its height is 6 meters greater than it base. Use an equation and the formula: area of a triangle= 0.5(base)(height): The area of a trangle is 13.5 square meters. Find the base and height of the rectangle if its height is 6 meters greater than it base. Use an equation and the formula: area of a triangle= 0.5(base)(height)
Click here to see answer by checkley77(1743)

Question 155235This question is from textbook Elementary and intermediate algebra
: If you can cut the lawn in 2 hours, and your spouse can do it in 3 hours, how long would it take if you work together? What assumptions (if any) did you make to arrive at your solution?
This question is from textbook Elementary and intermediate algebra
: If you can cut the lawn in 2 hours, and your spouse can do it in 3 hours, how long would it take if you work together? What assumptions (if any) did you make to arrive at your solution?

Click here to see answer by ankor@dixie-net.com(3949)

Question 155252: Consider x-8/x+5 divided by x-9/x+4.Explain why -5,9 and -4 are not allowable replacements for the varialbe x.: Consider x-8/x+5 divided by x-9/x+4.Explain why -5,9 and -4 are not allowable replacements for the varialbe x.
Click here to see answer by Earlsdon(3516)

Question 155230This question is from textbook elementary and intermediate algebra
: Chapter. 6 Math 209
BONUS: Word Problem.Please Help
Brenda and her husband Randy bicycled cross-country together. One morning, Brenda rode 30 miles. By traveling only 5 miles per hour faster and putting in one more hour, Randy covered twice the distance Brenda covered.
What was the speed of each cyclist?This question is from textbook elementary and intermediate algebra
: Chapter. 6 Math 209
BONUS: Word Problem.Please Help
Brenda and her husband Randy bicycled cross-country together. One morning, Brenda rode 30 miles. By traveling only 5 miles per hour faster and putting in one more hour, Randy covered twice the distance Brenda covered.
What was the speed of each cyclist?
Click here to see answer by scott8148(2485)

Question 155214: Faith owns an organic apple orchard. From her experience the last few seasons, she has developed the formula P = 20x - 0.01x^2 -240 to predict her profit P in dollars this season if her trees produce x bushes of apples. What is Faith's predicted profit this season if her orchard produces 300 bushes of apples?

Please help me with this problems, I'm very awful when it come to word problems.
Thank-you.

This other one is a travel word problems:
Olivia drives her car at 60 miles per hour for t hours. Ian drives his car at 50 miles per hour for (t + 2) hours. write a simplified expression for the sum of the distances traveled by the two cars.
: Faith owns an organic apple orchard. From her experience the last few seasons, she has developed the formula P = 20x - 0.01x^2 -240 to predict her profit P in dollars this season if her trees produce x bushes of apples. What is Faith's predicted profit this season if her orchard produces 300 bushes of apples?

Please help me with this problems, I'm very awful when it come to word problems.
Thank-you.

This other one is a travel word problems:
Olivia drives her car at 60 miles per hour for t hours. Ian drives his car at 50 miles per hour for (t + 2) hours. write a simplified expression for the sum of the distances traveled by the two cars.

Click here to see answer by tkbk(1)

Question 155182: The probability is 1 in 4,000,000 that a single auto trip in the United States will result in a fatality. Over a lifetime, an average U.S. driver takes 50,000 trips. (a) What is the probability of a fatal accident over a lifetime? Explain your reasoning carefully. Hint: Assume independent events. Why might the assumption of independence be violated? (b) Why might a driver be tempted not to use a seat belt “just on this trip”?: The probability is 1 in 4,000,000 that a single auto trip in the United States will result in a fatality. Over a lifetime, an average U.S. driver takes 50,000 trips. (a) What is the probability of a fatal accident over a lifetime? Explain your reasoning carefully. Hint: Assume independent events. Why might the assumption of independence be violated? (b) Why might a driver be tempted not to use a seat belt “just on this trip”?
Click here to see answer by stanbon(18044)

Question 155056This question is from textbook elementary and intermediate algebra
: Please help. #47. Basketball blowout. As the final buzzer signaled the end of the basketball game, the Lions were 34 points ahead of the Tigers. If the Lions scored 5 points for every 3 scored by the Tigers, then what was the final score? Thank youThis question is from textbook elementary and intermediate algebra
: Please help. #47. Basketball blowout. As the final buzzer signaled the end of the basketball game, the Lions were 34 points ahead of the Tigers. If the Lions scored 5 points for every 3 scored by the Tigers, then what was the final score? Thank you
Click here to see answer by Earlsdon(3516)

Question 154982: Margaret Morris just correctly computed a standard deviation of 6.0 from a sample of 50 observations. What is the variance of Margaret’s sample? : Margaret Morris just correctly computed a standard deviation of 6.0 from a sample of 50 observations. What is the variance of Margaret’s sample?
Click here to see answer by oscargut(506)

Question 154985: Karl Schmidt just scored a 96 on his last biology unit test. The mean score of the 36 students in his class was 78, and the standard deviation was 12. What is Karl’s z-score?: Karl Schmidt just scored a 96 on his last biology unit test. The mean score of the 36 students in his class was 78, and the standard deviation was 12. What is Karl’s z-score?
Click here to see answer by stanbon(18044)

Question 154918: The Chunnel connects the United Kingdom and France by a railway tunnel under the English Channel. The British started tunneling 2.5 months before the French and averaged 0.63 kilometers per month. The French averaged 0.47 kilometers per month. When the two sides met, they had tunneled 37.9 kilometers. How many kilometers of tunnel did each country build? If the French started tunnelingon February 28, 1988, approximately when did the two sides meet?: The Chunnel connects the United Kingdom and France by a railway tunnel under the English Channel. The British started tunneling 2.5 months before the French and averaged 0.63 kilometers per month. The French averaged 0.47 kilometers per month. When the two sides met, they had tunneled 37.9 kilometers. How many kilometers of tunnel did each country build? If the French started tunnelingon February 28, 1988, approximately when did the two sides meet?
Click here to see answer by ankor@dixie-net.com(3949)

Question 154866This question is from textbook elementary and intermediate algebra
: Can someone help with this. #27. Violence and kindness. While watching television for one week, a consumer group counted 1240 acts of violence and 40 acts of kindness. What is the violence to kindness ratio for televison, according to this group?
ThanksThis question is from textbook elementary and intermediate algebra
: Can someone help with this. #27. Violence and kindness. While watching television for one week, a consumer group counted 1240 acts of violence and 40 acts of kindness. What is the violence to kindness ratio for televison, according to this group?
Thanks
Click here to see answer by Earlsdon(3516)

Question 154835: The area of a triangle is 13.5 square meters. Find the base and height of the rectangle if its height is 6 meters greater than its base. Use an equation and the formula area of a triangle 0.5(base)(height).: The area of a triangle is 13.5 square meters. Find the base and height of the rectangle if its height is 6 meters greater than its base. Use an equation and the formula area of a triangle 0.5(base)(height).
Click here to see answer by checkley77(1743)

Question 154768This question is from textbook

: For security a company will enclose a rectangle area of 11,200 ft^2 in the rear of its plant. One side will be bound by the building and the other three sides by fencing .If 300ft of fencing will be used, what will be the dimensions of the rectangle This question is from textbook

Question 154822This question is from textbook elementary and intermediate algebra
: Can someone help me out? #88. Barn painting. Melanie can paint a certain barn by herself in x days. Her helper Melissa can paint the same barn by herself in 2x days. Write a rational expression for the fraction of the barn that they complete in one day by working together. Evaluate the expression fo x = 5.
Thank you much. This question is from textbook elementary and intermediate algebra
: Can someone help me out? #88. Barn painting. Melanie can paint a certain barn by herself in x days. Her helper Melissa can paint the same barn by herself in 2x days. Write a rational expression for the fraction of the barn that they complete in one day by working together. Evaluate the expression fo x = 5.
Thank you much.
Click here to see answer by stanbon(18044)

Question 154821This question is from textbook elementary and intermediate algebra
: Could someone help out with this one? #80. Work. Henry sold 120 magazine suubscriptions in x+2 days. If he sold at the same rate for another week, then how many magazines did he sell in the extra week?
Thank you.This question is from textbook elementary and intermediate algebra
: Could someone help out with this one? #80. Work. Henry sold 120 magazine suubscriptions in x+2 days. If he sold at the same rate for another week, then how many magazines did he sell in the extra week?
Thank you.
Click here to see answer by ankor@dixie-net.com(3949)

Question 154763: The formula for volume of a solid rectangular figure is V=lwh (length x width x height). If the volume of a mailing container must be 360 in^3, its length 12 in. and width 6 in., what must its height be?: The formula for volume of a solid rectangular figure is V=lwh (length x width x height). If the volume of a mailing container must be 360 in^3, its length 12 in. and width 6 in., what must its height be?
Click here to see answer by jojo14344(371)

Question 154740: I need help. I got as far as
Please help me solve this equation: The distance d (in feet) that an object will fall in t seconds is given by the formula To find the height of a bridge above a river, a man drops a stone into the water. If it takes the stone 5 seconds to hit the water, how high is the bridge?: I need help. I got as far as
Please help me solve this equation: The distance d (in feet) that an object will fall in t seconds is given by the formula To find the height of a bridge above a river, a man drops a stone into the water. If it takes the stone 5 seconds to hit the water, how high is the bridge?
Click here to see answer by Alan3354(566)

Question 154743: I can't seem to figure this problem out. The answer is probably staring me in the face.
Please help me solve this equation: During construction, carpenters often brace walls. The appropriate length of the brace is given by the formula . If a carpenter nails a 10-foot brace to the wall 6 feet above the floor, how far from the base of the wall should he nail the brace to the floor? : I can't seem to figure this problem out. The answer is probably staring me in the face.
Please help me solve this equation: During construction, carpenters often brace walls. The appropriate length of the brace is given by the formula . If a carpenter nails a 10-foot brace to the wall 6 feet above the floor, how far from the base of the wall should he nail the brace to the floor?
Click here to see answer by stanbon(18044)

Question 154672: consecutive integers . find three consecutive integers such that the sum of their square is 77 : consecutive integers . find three consecutive integers such that the sum of their square is 77
Click here to see answer by ankor@dixie-net.com(3949)

Question 154639: consider the problem x-8/ x +5 divided by x -9/ x + 4. Explain why -5,9,and -4 are not allowable replacement for variable x. : consider the problem x-8/ x +5 divided by x -9/ x + 4. Explain why -5,9,and -4 are not allowable replacement for variable x.
Click here to see answer by Earlsdon(3516)

Question 154629This question is from textbook elementary and intermediate algebra

: I posted this earlier but I cannot seem to get the answer can someone please help out thanks. I have tried to figure this one out can you help? #82. Venture capital. Henry invested $12,000 in a new restaurant. When the restaurant was sold 2 years later, he received $27,000. Find his average annual return by solving the equation 12,000(1+r)^2=27,000.
Thanks for your help.
This question is from textbook elementary and intermediate algebra

: I posted this earlier but I cannot seem to get the answer can someone please help out thanks. I have tried to figure this one out can you help? #82. Venture capital. Henry invested $12,000 in a new restaurant. When the restaurant was sold 2 years later, he received $27,000. Find his average annual return by solving the equation 12,000(1+r)^2=27,000.
Thanks for your help.

Click here to see answer by stanbon(18044)

Question 154584: .
........................................................................................an inlet pipe can filla tank in 1 hour, a drain pipe can empty it in 3/2 hours. The inlet pipe was openend at 6:00 a.m. to fill the tank. At 6:20a.m. someone noticed that the drain has been left open and so he closes it immediately. How long will it take the first pipe to finish filling: .
........................................................................................an inlet pipe can filla tank in 1 hour, a drain pipe can empty it in 3/2 hours. The inlet pipe was openend at 6:00 a.m. to fill the tank. At 6:20a.m. someone noticed that the drain has been left open and so he closes it immediately. How long will it take the first pipe to finish filling
Click here to see answer by ankor@dixie-net.com(3949)

Question 154576This question is from textbook Algebra and Trigonometry Structure and Method book 2

: I have been struggling on this problem for awhile now and I was wondering if someone would help me? Please and Thank you!! I would deeply appreciate it!
In a two-candidate election 1401 votes were cast. If 30 voters had switched their votes from the winner to the loser, the loser would have won by 5 votes. How many votes did each candidate actually recieve?This question is from textbook Algebra and Trigonometry Structure and Method book 2

: I have been struggling on this problem for awhile now and I was wondering if someone would help me? Please and Thank you!! I would deeply appreciate it!
In a two-candidate election 1401 votes were cast. If 30 voters had switched their votes from the winner to the loser, the loser would have won by 5 votes. How many votes did each candidate actually recieve?
Click here to see answer by stanbon(18044)

Question 154576This question is from textbook Algebra and Trigonometry Structure and Method book 2

: I have been struggling on this problem for awhile now and I was wondering if someone would help me? Please and Thank you!! I would deeply appreciate it!
In a two-candidate election 1401 votes were cast. If 30 voters had switched their votes from the winner to the loser, the loser would have won by 5 votes. How many votes did each candidate actually recieve?
Click here to see answer by scott8148(2485)

Question 154576This question is from textbook Algebra and Trigonometry Structure and Method book 2

: I have been struggling on this problem for awhile now and I was wondering if someone would help me? Please and Thank you!! I would deeply appreciate it!
In a two-candidate election 1401 votes were cast. If 30 voters had switched their votes from the winner to the loser, the loser would have won by 5 votes. How many votes did each candidate actually recieve?
Click here to see answer by Edwin McCravy(1816)

Question 154574This question is from textbook Algebra and Trigonometry Structure and Method book 2

: I have been working on this problem for awhile now and I still can't figure it out. I was wondering if someone would help me? Please and Thank you!! I would deeply appreciate it!
In problems 13-18, find the solution if possible. If there is not enough information to solve the problem or if it has no solution, say so. If extra information is given, identify it.
Jan invested $1200 at a certain simple interest rate and $2200 at a rate 3% higher. Her annual earnings were $253. Find the two interest rates if she earned $121 more on the larger investment than on the smaller.This question is from textbook Algebra and Trigonometry Structure and Method book 2

: I have been working on this problem for awhile now and I still can't figure it out. I was wondering if someone would help me? Please and Thank you!! I would deeply appreciate it!
In problems 13-18, find the solution if possible. If there is not enough information to solve the problem or if it has no solution, say so. If extra information is given, identify it.
Jan invested $1200 at a certain simple interest rate and $2200 at a rate 3% higher. Her annual earnings were $253. Find the two interest rates if she earned $121 more on the larger investment than on the smaller.
Click here to see answer by ankor@dixie-net.com(3949)

Question 154184: Ziehart Pharmaceuticals reported net sales of $178,000 and cost of goods sold of $58,000. Candy Electronics Corp. reported net sales of $36,000 and cost of goods sold of $26,200. Calculate the gross profit percentage for both companies. From these calculations, can you determine which company is more successful? Explain.: Ziehart Pharmaceuticals reported net sales of $178,000 and cost of goods sold of $58,000. Candy Electronics Corp. reported net sales of $36,000 and cost of goods sold of $26,200. Calculate the gross profit percentage for both companies. From these calculations, can you determine which company is more successful? Explain.
Click here to see answer by jojo14344(371)

Question 154522: The perimeter of a square is 12 meters greater than the perimeter of another square. It's area is 45 square meters greater than the area of the smaller square. Find the perimeter of each square. : The perimeter of a square is 12 meters greater than the perimeter of another square. It's area is 45 square meters greater than the area of the smaller square. Find the perimeter of each square.
Click here to see answer by nerdybill(465)

Question 154462: Juan donates 10% of his salary to his church. he earns 3,500 per month. He used to earn 3,200, and he gave the same dollar amount that he does now. What percentage of his income did he donate to the church when he earned 3,200?: Juan donates 10% of his salary to his church. he earns 3,500 per month. He used to earn 3,200, and he gave the same dollar amount that he does now. What percentage of his income did he donate to the church when he earned 3,200?
Click here to see answer by BrittanyM(80)

Question 154448: Please help Word problem

Cindy's phone company charges 20 CENTS for each minute of a call. She was charged a total of $14.40 for calls in the month of july, how many minutes had she used the phone that month.
This is all I got
july = 31 days
14.40/31=.4645
14.40/20=72
Thank you

: Please help Word problem

Cindy's phone company charges 20 CENTS for each minute of a call. She was charged a total of $14.40 for calls in the month of july, how many minutes had she used the phone that month.
This is all I got
july = 31 days
14.40/31=.4645
14.40/20=72
Thank you

Click here to see answer by BrittanyM(80)

Question 154521: Mary took 5 English tests. Her scores were 78%, 89%, 98%, 67%, and 90%.
What must she score on her sixth test so her average will be 85%?
: Mary took 5 English tests. Her scores were 78%, 89%, 98%, 67%, and 90%.
What must she score on her sixth test so her average will be 85%?

Click here to see answer by nerdybill(465)

Question 154512: determine the following products:
A) describe the pattern(s) you see.
1 x 142857, 2 x 142857, 3 x 142857.
B) do more computations until you can predict the next product.
C) alont the "what if" theme, this pattern seems to break at 7 X 142857. continue to find and write products of 142857 and 8,9,10, etc. what patterns do you see now: determine the following products:
A) describe the pattern(s) you see.
1 x 142857, 2 x 142857, 3 x 142857.
B) do more computations until you can predict the next product.
C) alont the "what if" theme, this pattern seems to break at 7 X 142857. continue to find and write products of 142857 and 8,9,10, etc. what patterns do you see now
Click here to see answer by AnlytcPhil(958)

Question 154498: The speed of one aircraft to that of another is 2 to 5. If the slower aircraft has a speed of 300 knots, what is the speed of the faster aircraft?: The speed of one aircraft to that of another is 2 to 5. If the slower aircraft has a speed of 300 knots, what is the speed of the faster aircraft?
Click here to see answer by jojo14344(371)

Question 154503: A chain store manager has been told by the main office that daily profit, P, is related to the number of clerks working that day, x, according to the equation P= -25x^2 + 300x. What number of clerks will maximize the profit, and what is the maximum possible profit?: A chain store manager has been told by the main office that daily profit, P, is related to the number of clerks working that day, x, according to the equation P= -25x^2 + 300x. What number of clerks will maximize the profit, and what is the maximum possible profit?
Click here to see answer by BrittanyM(80)

Question 154500: If 6 people can empty 2 cargo spaces in 1 day how many spaces can 150 people empty in 1 day?: If 6 people can empty 2 cargo spaces in 1 day how many spaces can 150 people empty in 1 day?
Click here to see answer by jojo14344(371)

Question 154499: If 6 people can empty 2 cargo spaces in 1 day how many spaces can 150 people empty in 1 day?: If 6 people can empty 2 cargo spaces in 1 day how many spaces can 150 people empty in 1 day?
Click here to see answer by jojo14344(371)