Questions on Word Problems: Linear Equations And Systems Word Problems answered by real tutors!

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Question 95754: It took Jerry 6 hr to ride his bicycle 30 mi against the wind, but took him only 2 hr to return to his starting point with the same wind. Find Jerry's average riding speed in still air, and find the average speed of the wind.
Click here to see answer by bucky(2189)

Question 96220: an army of soldiers is marching down a road at 5 mph. a messenger on horseback rides from the front to the rear and returns immediately, the total time taken being 10 minutes. assuming that the messenger rides at the rate of 10 mph, determine the distance from the front to the rear.
Click here to see answer by ankor@dixie-net.com(15638)

Question 96420: If 3 hens lay 4 eggs in 5 days, how many days will it take a dozen hens to lay 8 dozen eggs/
Click here to see answer by stanbon(57246)

Question 96451: Word Problem for equadratic equations and inequalities.
An architect has designed a motel pool within a rectangular area that is fenced on three sides. If she uses 60 yards of fencing to enclose an area of 352 square yards, then what are the dimensions for L and W. Assume L is greater than W
Click here to see answer by checkley71(8403)

Question 96497: Joe traveled against the wind in a small plane for 3 hours. The return trip with the wind took 2.8 hours. Find the speed of the wind if the speed of the plane in still air is 180mph.
Click here to see answer by edjones(7569)

Question 96805: On Tuesday it took Julia Ward 2 h to drive 40 km and then make 3 round trips to a construction site. On Wednesday she drove 17 km and made 2 round trips to the site, all in 1 h. If all her driving was done at the same constant speed, what is the round-trip distance to the construction site?
Click here to see answer by ptaylor(2048)

Question 96920: Three digit number. The sum of the digits of a three-digit number is 11. If the digits are reversed, the new number is 46 more than five times the old number. If the hundreds digit plus twice the tens digit is equal to the units digit, then what is the number.
Click here to see answer by stanbon(57246)

Question 96962: An automobile race is arranged between two drivers - Steady Eddy - living up to his reputation - manages to average exactly 150 kilometers per hour(kph) for the entire length of the race. Rapid Robert has some mechanical problems early in the race and averages 140 kph for the first half of the length of the race. Rapid Robert recovers during the later stages of the race and averages 160 kph for the second half of the length of the race. What is the outcome of the race?
Click here to see answer by mathslover(135)

Question 97338: can you help me to solve this problem please:
SUzy has a piggy bank consisting of nickels and dimes. if there are 30 coins worth $1.90 how many nickels and dimes are in the bank?
thanks
Click here to see answer by stanbon(57246)

Question 97336: I really don't know how to solve this problem:
Didi invested a total of $12000 in two accounts paying 7.5%(percentage) and 6% simple interest. if her total return at the end of the first year was $840 how much did she invest in each account.
i would really apreciate if you can solve and show me how
Click here to see answer by scott8148(6628)

Question 97484: Ronald wants to sell his care through a broker who charges a commission of 10% of the selling price. Ronald still owes $11.025 on the car. Ronald must get enough to at least pay off the loan. What is the range of selling price?
Click here to see answer by edjones(7569)

Question 97614: if 2 is subtracted from a number and this difference is tripled, the result is 6 more than the number. find the number.
Click here to see answer by checkley71(8403)

Question 97614: if 2 is subtracted from a number and this difference is tripled, the result is 6 more than the number. find the number.
Click here to see answer by stanbon(57246)

Question 97614: if 2 is subtracted from a number and this difference is tripled, the result is 6 more than the number. find the number.
Click here to see answer by bucky(2189)

Question 97631: the sum of three times a number and 7 more than the number is the same as the difference between -11 and twice the number. what is the number
Click here to see answer by ankor@dixie-net.com(15638)

Question 97947: Water at sea level boils at a temperature of 212 degrees Fahrenheit. For every increase in altitude of 1000 feet, the boiling point drops by 1.8 degrees. Write a linear function that gives the boiling point of water as a gunction of the altitude. What is the boiling point of water at 15,000 feet?
I have to solve this and then present it on the board during my next class and explain how I got the answer...and I have no idea what to do with this!! Please help! Thanks!!
Click here to see answer by stanbon(57246)

Question 97983: find a linear population function P(t) with the average rate of change a. Do not reset the clock.
P(1993)=847.719 and a=-60.876
Click here to see answer by tutorcecilia(2152)

Question 98059: Mr. Hogan read 10 pages of a book on Monday. He read 1/3 of the remainder on Wednesday. If he still had 24 pages to read, how many pages were there in the book?
Click here to see answer by checkley71(8403)

Question 98153: Find the sum of the infinite geometric series: 1 + 3/5 + 9/25 + ..., it it exists.
The answers to choose from are:
a. 5/3
b. 5/2
c. 3/5
d. does not exist
So that I may have a better understanding, could you please show the work for the problem. Thank you very much.
Click here to see answer by mathslover(135)

Question 98152: Find x in the solution of the system 3x+y=2 and 2x-3y=16.
Ths suggested answers are 2, -4, 18/11 and 10/11. Please be mindful that I do have to show my work. Thank you so very much!
Click here to see answer by edjones(7569)

Question 98151: Write qn equation of the line that passes through (9, 6) and is perpendicular to the line whose equation is y=-1/3x+7.
So far I have:
y=3x7/3
y-(6)=7/3 (x-9)
y+6=7/3x3
This is as far as I can go. I am trying to assist my niece and at the age of 55, my brain is not what it use to be.
Click here to see answer by ankor@dixie-net.com(15638)

Question 98397: This is for our Chapter 2 test and he never explained ive tried and tried to get the soultion and I've came up with $2.26 and my husband came up with $10.77 so Here goes.
Recently, the Texas Junior College Teachers Association annual conferance was held in Austin. At That time a taxi ride in Austin was $1.25 for the first 1/5 of a mile and $0.25 for each addtional 1/5 of a mile. The distance from one of the convention hotels to the airport is 7.5 miles. If you were to tip the driver of the taxi 15%, how much would it cost to take the taxi from the hotel to the airport?
Click here to see answer by checkley71(8403)

Question 98604: Bob invested $20,000, part at 14% and part at 13%. If the total interest at teh end of the year is $2,720, how much did he invest at 14%?

Click here to see answer by checkley71(8403)

Question 98617: Write an equation and solve.
Valerie was just seated at Sunny's Home Dinner when she realized she only has $20.00. IF she must pay 7% on tax and she wishes to pay 15% on the total bill (meal and tax). What is the maxium amount she can spend?
Click here to see answer by Nate(3500)

Question 98620: Write an equation and solve.
From the years 1980 to 2005 the minimum hourly wage increased about 66.13% to $5.15 per hour. What was the minimum hourly wage in 1980?
Click here to see answer by Nate(3500)

Question 98640: Here is my word problem..
Train A leaves Pittsburgh towards Philadelphia at 45 mph. At the same time, on a track running alongside the track on which train A is running, train B leaves Philadelphia towards Pittsburgh at 48 mph. Considering that the distance between the two cities is 257 miles, how long will it take for the two trains to pass alongside one another.
The only work i could come up with for the problem so far was,
45T+48T=257
I tried to do the problem, but am having alot of help. I would really appreciate your help. My problem is due tomorrow, September 17.
Click here to see answer by scott8148(6628)

Question 98643: I have no idea how to go about this problem, could you please help me with the set up and finding the answer?
The word problem is, Tom leaves Eddie's house to go home for dinner. He pedals his bike at a speed of 10 mph. Eddie notices that Tom left his wallet behind and gets on his bike to return the wallet. Eddie leaves his house 5 minutes after Tom left, but pedaled fast enough to reach Tom's house at exactly the same time that Tom does. Assuming that Tom's house is 4 miles away from Eddie's house, how fast did Eddie pedal his bike?
thank you for the help
Click here to see answer by ankor@dixie-net.com(15638)

Question 98821: An architect has designed a motel pool within a rectangular area that is fenced on three sides.If she uses 60 yards of fencing to enclose an area of 352 square yards, then what are the dimensions of one side length and one side width? Assume that L is greater than W.
I have been working on this for 2 hours, and cannot find an equation that works! Help!
Click here to see answer by scott8148(6628)

Question 98841: I have 2 questions I need help on understanding how you get the answer, such as 4x-8 or x^2+4x-21, etc.
A rectangle has length x+3 and width x-7. What is the area of the rectangle in terms of x.
A virus takes up a volume of 8.5x 10^-14 cubic centimeters. Calculate the estimated number of viruses in 28 cubic centimeters.
Thank you for your help.

Click here to see answer by malakumar_kos@yahoo.com(315)

Question 98771: An object is projected upward from the top of a tower. Its distance in feet above the ground after t seconds is given by s(t) = -16t+64t+80. How many seconds will it take to reach ground level?
Click here to see answer by scott8148(6628)

Question 98949: find two numbers with a sum of 15 and a differnce of 4.
Click here to see answer by tutorcecilia(2152)

Question 98957: The electrical resistance R of a wire varies directly as its length L and inversly as the square of its diameter. A wire 20 meters long and 0.6 centimeters in diameter made from a certain alloy has a resistance of 36 ohms. What is the resistance of a piece of wire 60 meters long and 1.2 centimeters in diameter made from the same material.
Click here to see answer by stanbon(57246)

Question 99327: 7x – 5 + 3x = 6 + x – 10
Click here to see answer by edjones(7569)

Question 98167: An airplane covered 15 miles of its route while decreasing its altitude by 20,000 feet. Find the slope of the airplane's line of descent. Round to the nearest hundredth. [Hint: 1 mi = 5280 feet.]

Click here to see answer by edjones(7569)

Question 99644: Julie and Eric row their boat (at a constant speed) 40 miles downstream for 4 hours, helped by the current. Rowing at the same rate, the trip back against the current takes 10 hours. What is rate of the current? What is the rate that Julie and Eric row?
Click here to see answer by checkley71(8403)

Question 99672: Translate the following statement into an algebraic equation. Let x represent the number. 7 more than a number is 19

Click here to see answer by edjones(7569)

Question 99671: 2 times a number, increased by 4, is 12. Find the number
Click here to see answer by anjali_yamini(27)

Question 99745: Samantha works twice as many hours as Adriane. Together they work a total of 39 hours one week.
write a linear system to represent the situation
Click here to see answer by checkley71(8403)

Question 99758: Lopez spent 1/3 of his vaction money for travel and 2/5 of his vacation money for lodging. He spent $1100 for travel and lodging. What is the total amount of money he spent on his vacation?
I know x + y = 1100
1/3x = 2/5y = (not sure from this point!!!)
Click here to see answer by edjones(7569)

Question 99850: Hello I have two word problems that I needed help on and I need help solving them. Could you please help me on these problems? Thank you very much for your assistance.
Problem 1: You commute 56 miles one way to work. The trip to work takes 10 minutes longer than the trip home. Your average speed on the trip home is 8 mph faster. What is your average speed on the way home?
Problem 2: A car radiator contains 10 liters of a 30% antifreeze solution. How many liters will have to be replaced with pure antifreeze if the resulting solution is to be 50% antifreeze?
Thank you,
Kumi
Click here to see answer by stanbon(57246)

Question 99857: the mass of salt in 100kg of 30% salt solution, by mass
Click here to see answer by jim_thompson5910(28504)

Question 99857: the mass of salt in 100kg of 30% salt solution, by mass
Click here to see answer by edjones(7569)

Question 99825: Can you please help me solve this problem: The temperature of 41 degrees Fahrenheit is equivalent to 5 degrees Celius, and the temperature of 77 degrees Fahrenheit is equivalent to 25 degrees Celsius. at what temperature, the degree in Fahrenheit is the same as the degree in Celsius.
Thank you, I most appreciate it

Click here to see answer by edjones(7569)

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