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

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Question 341918: three motorcyclist rides around a circular race course starting at the same place and the same time. The first passes the starting point every 12 mins, the second every 18 mins, and the third every 16 mins. After how many mins will all three pass the starting point again at the same time. Explain.
Click here to see answer by ankor@dixie-net.com(15667)

Question 341947: The number of long distance phone calls between two cities in a certain time period varies directly as the populations p1 and p2 of the cities, and inversely as the distance between them. If 10,000 calls are made between two cities 500 mi apart, having populations of 50,000 and 125,000, find the number of calls between two cities 800 mi apart, having populations of 20,000 and 80,000.

Please help me solve this. It was in the variations portion of my textbook. Not sure where to begin. Thanks!
Click here to see answer by stanbon(57424)

Question 341811: in a singles tennis tournament, 111 players participated. when a player lost one match, he was eliminated from the tournament. how many matches must be played to determine an overall champion?
Click here to see answer by scott8148(6628)

Question 342037: A merchant has 5 pounds of mixed nuts that cost $30.He wants to add peanuts that cost $1.50 per pound and cashews that cost $4.50 per pound to obtain 50 pounds of a mixture that costs $2.90 per pound. How many pounds of peanuts are needed?
Click here to see answer by checkley77(12569)

Question 342109: How can $58,000 be invested, part at 10% annual simple interest and the remainder at 8% annual simple interest, so that the interest earned by the two accounts will be equal.
Please help. I can set up the equation if the total annual simple interest earned for 1 year was given, but this one is a little over my head.
Click here to see answer by checkley77(12569)

Question 342206: A nut mixture contains 10% cashews. How many kilograms of the mixture and how many kilograms of the cashews should be mixed to give 6 kg of a nut mixture which is 25% cashews?
Click here to see answer by Fombitz(13828)

Question 342313: Time Temperature
5:00 -10.2
7:00 -6.1
9:00 -2.3
11:00 4
The table gives both time and temperature.How much higher was the temperature at
9 o’clock that 5 o’clock?
(A)3.8 (B) 4.1 (C) 7.9 (D) 10.1 (E) 12.5
Click here to see answer by mananth(12270)

Question 342272: In how many ways can you walk up a stairway that has 7 steps if you can take 1 or 2 steps at a time.
Click here to see answer by Theo(3472)

Question 342309: The cost of family member ship in a municipal pool is $10 for each member of the family plus $30 for a parking permit. Express this cost as a function of p, the number of people in a family using one car?
(A) f(p)= 40p
(B) f(p)= 10p + 30
(C) f(p)= 30p + 10
(D) f(p)= 10p + 1
(E) f(p)= 30p + 1
Click here to see answer by stanbon(57424)

Question 342255: a forest contains 843,000 trees of a certain species. statistical studies show that the number of leaves on these trees varies from a low of 943 to a high of 3722. at least how many trees must have the same number of leaves?
Click here to see answer by nyc_function(2733)

Question 342248: a town that has a population of 20,000 has 5000 telephones. if 400,000 calls are made in 1 month, what is the average number of calls per person?
Click here to see answer by nyc_function(2733)

Question 342207: Sixty grams of an alloy that contains less that 15% gold is melted together with 45 g of an alloy that is 20% gold. What do you know about the amount of gold in the resulting alloy?
Click here to see answer by nyc_function(2733)

Question 342410: A triangle has a side of length x . The second side of the triangle is 2 inches longer than the first side. The third side is 4 inches longer than the first side. The square of the first side plus the square of the second side is equal to the square of the third side. What is the length if each side of the triangle? Use the 5-Step method.

This is how much I've figured out so far:
1.x= side one
x+2= second side
x+4= third side
Please help me, I'm stuck!!!!
Thank you. :)
Click here to see answer by jim_thompson5910(28598)

Question 342412: A photograph of a child has a width 2 inches longer than length. The proud parents decide the photo is cute enough that they want a larger version. The picture is made bigger by increasing both its length and its width by 2 inches, it's area increases by 20 SQUARE inches. What are the dimensions of the original picture? Use the 5-step method.
I don't even know where to start and I need help now!!!
Thank you so much!
Click here to see answer by jim_thompson5910(28598)

Question 342419: an open box is made from a rectangular piece of material 20"by 25" by cutting equal squares from each corner and turning up the sides. Let x be the length of each side of the square cut out of each corner. Write the volume V of the box as a function of x.
Click here to see answer by checkley77(12569)

Question 342679: tom's bike shop rents bikes for $0.30 a mile and an initial $10.00 fee. joe's bike shop rents bikes for $0.50 a mile and an initial fee of $6.00. at what mileage would the two shops cost the same? what would that cost be?
Click here to see answer by mananth(12270)

Question 342682: A play ground is 1 yard longer than twice its width. John wants to increase the length and width buy 5 feet each to enlarge the area by 90 square feet. what will be the area of the new pen?
Click here to see answer by mananth(12270)

Question 342675: 9 spartan jerseys were sold. 22 lancer jerseys were sold. $618.05 dollars worth of lancer and spartan jerseys were sold. the cost of one spartan plus one lancer jersey costs $41.30. what is the cost of each spartan jersey? what is the cost of each lancer jersey?
Click here to see answer by checkley77(12569)

Question 342684: I have six more dimes then quarters in my pocket. the total amount of money I have in my pocket is $2.00. how many quarters do i have? how many dimes do i have?
Click here to see answer by mananth(12270)

Question 342681: two trains are 100 miles apart, they are headed straight for each other. train A is headed east at a rate of 10 miles per hour. train B is headed west at a rate of 15 miles per hour. At what time will the two trains collide? how far will train A travel before colliding?
Click here to see answer by Fombitz(13828)

Question 342671: Rams jerseys cost $45.00 and cardinal jerseys cost $35.00. sixty-nine jerseys were sold for $2635.00.
how many were rams jerseys? how many were cardinal jerseys?
Click here to see answer by Fombitz(13828)

Question 342876: Eight turns of wire are wrapped around a pipe with a length of 20 centimeters and the circumference of 6 centimeters. What is the length of the wire?
Click here to see answer by Fombitz(13828)

Question 342882: The volume of a rectangular Chinese box is given by the formula V=LWH. The Volume is 297cu units. Find the width and length.
Length = x+2
width = x
height = 3
can you show the steps also?
Click here to see answer by nyc_function(2733)

Question 342918: I am having trouble learning how to write the algebraic expressions for word problems. I can solve the problems if I have the expression, but can't figure out how to get the problem? Example : The sum of 2 brothers' ages is 38. One brother is 10 years older than the other. How old is each brother? Example 2: Matthew loaned three friends a total of $27. All he can remember is that he loaned the second friend $5 more than the first and the third friend twice as much as the second. How much did he loan each of the 3 friends? Any help would be greatly appreciated. thanks!
Click here to see answer by Alan3354(30993)

Question 343002: A mosquito can fly at 0.6 mi/h. How many inches per second is this?
Click here to see answer by checkley77(12569)

Question 342998: At one time, trains were not permitted to go faster than 12 mi/h. How many yards per minute is this?
Click here to see answer by checkley77(12569)

Question 343022: a sneeze can travel up to 100 mi/h. How many feet per second is this?
Click here to see answer by solver91311(16897)

Question 343034: What is the answer for this: $27/hours equals how much money per minute?
Click here to see answer by solver91311(16897)

Question 343033: What is the answer for this: 90 inches/min. equals how many feet per minute?
Click here to see answer by solver91311(16897)

Question 343021: An Artic tern flew 11,000 miles in 115 days. How many feet per minute did the bird average?
Click here to see answer by josmiceli(9698)

Question 343035: What is the answer for this: 12cm/days equals how many centimeters per hour?
Click here to see answer by josmiceli(9698)

Question 343040: What is the answer for this: 12 quarts/min. equals how many gallons per minute?

Click here to see answer by solver91311(16897)

Question 343040: What is the answer for this: 12 quarts/min. equals how many gallons per minute?

Click here to see answer by ewatrrr(10682)

Question 343281: seven more than four times a nnumber is the same as five less than eight times the number.what is the number?
Click here to see answer by haileytucki(390)

Question 343335: It takes a girl 36 minutes to deliver the newspapers on her route; however, if her brother helps, it takes them only 20 minutes. How long would it take her brother to deliver the newspapers by himself?
Click here to see answer by mananth(12270)

Question 343385: Tobey can mow a lawn in 50 minutes. Working together, Tobey and Nick take only 30 minutes to mow the lawn. How long would it take Nick to mow the lawn alone?
Not sure how to start when there are two unknown variables: D=R x T, but we don;t have D or R? HELP!
Click here to see answer by scott8148(6628)

Question 343349: suppose you place a single penny on a checkerboard corner square, two pennies on the next square, four on the next square and so on. How many pennies will there be on the 64th square?
Click here to see answer by scott8148(6628)

Question 343579: A rocket is fired straight up from ground level with an initial velocity of 800 ft/sec. When will the rocket hit the ground?
You are standing on a cliff 200 feet high. How long does it take the rock to hit the ground after being dropped?
Click here to see answer by solver91311(16897)

Question 343704: The length of a rectangular field is 45 ft greater than its width. How much fencing is needed to enclose the field and divide it into two parts?
Click here to see answer by stanbon(57424)

Question 343888: Two positive numbers have a sum of 5 and product of 5. Find the numbers
Click here to see answer by Jk22(389)

Question 343887: Each side of a square is 4 meters long. When each side is increased by x meters, the area os doubled. Find the value of x.
Click here to see answer by Fombitz(13828)

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