Questions on Word Problems: Rate of work, PAINTING, Pool Filling answered by real tutors!

Tutors Answer Your Questions about Rate-of-work-word-problems (FREE)

Question 291155: it takes Steve 3 hours to mow the lawn and Shannon 4 hours to mow the same lawn. How long would it take them to mow the lawn together?
Click here to see answer by CharlesG2(834)

Question 291185: The inlet pipe of an oil tank can fill the tank in 1 hour, 30 minutes. The outlet pipe can empty the tank in 1 hour. Find how long it takes to empty the full tank if both pipes are open. Show work.
Click here to see answer by ptaylor(2198)

Question 291190: Solve for y: x=(4y+6)/3
Click here to see answer by checkley77(12844)

Question 291438: Jenna walks 2 mph slower than Hampton. In the time it takes Hampton to walk 8 miles, Jenna walks 5 miles. Find the speed of each person.
Click here to see answer by ankor@dixie-net.com(22740)

Question 291479: Tom and Jerry can paint a room together in 4 hours. Working alone, Tom can paint the room in 2 hours less time than Jerry can. Find how long it takes Jerry to paint the room.
Click here to see answer by edjones(8007)

Question 291586: Three workers are named x, y and z . suppose that together x and y can do a job in 4 hours , x and z can do it in 6 hours and x, y and z can do the job in 3 hours . how many hours will y alone need to do the job ?
A 6 hrs b 8 hrs c 10 hrs d 12 hrs e none of these

Click here to see answer by richwmiller(17219)

Question 291607: How many gallons of water are is in a pool 16 foot wide by 32 foot long by 2 foot deep?
Click here to see answer by richwmiller(17219)

Question 291676: Frank can paint a mural in 10 days. With the help of an apprentice it would take only 6 days. How long would it take the apprentice to paint the mural working alone?
Click here to see answer by richwmiller(17219)

Question 291755: Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 1/2 hours. How quickly can all three fill the pool together?
I have the answer sheet but I have no idea how to solve this problem! Please show me how it's done! thanks!
Click here to see answer by Alan3354(69443)

Question 291763: it takes jason 3 hours to mow a lawn. it takes wayne 4 hours to mow the same lawn. how long does it take them to mow the lawn if they work together?
Click here to see answer by richwmiller(17219)

Question 291936: Jack and Susan participated in the New York City Marathon. They each maintained a constant pace for the first hour. Find, in mph, how much faster Jack was running than Susan if at 4 miles Jack was and 40 minutes and if Susan was at 3 miles in 40 minutes.
Click here to see answer by oberobic(2304)

Question 291776: A sink can be filled in 3 minutes. Suzi is filling and draining the sink at the same time. In 15 minutes the sink starts to overflow. How many minutes does it take to drain the sink?
Click here to see answer by ankor@dixie-net.com(22740)

Question 292051: Donald can pick 25% more apples than Roman in the same amount of time. If together they can pick 90 apples in an hour , how long would it take Donald to pick 120 apples ?
A 2 hrs b 2hrs &24 minutes c 2hrs &40 minutes d 3 hrs e none of these

Click here to see answer by richwmiller(17219)

Question 292091: It takes Sal 5 hours to paint a house. It takes Tom 3 hours to paint the same house. How long will it take to paint the house if both of them work together?
Click here to see answer by Alan3354(69443)

Question 292118: One pump can fill a gasoline tank in 9 hours. With a second pump working simutaneously the tank can be filled in 5 hours. How long would it take the second pump to fill the tank operating alone?
Click here to see answer by ankor@dixie-net.com(22740)

Question 293020: 7a=2(a-10)
Click here to see answer by texttutoring(324)

Question 293017: 7a=2(a-10)
Click here to see answer by ichudov(507)

Question 293667: Raphael can load a large shipping truck in 15 hours. Working together, Raphael and Jana can load the same truck in 6 hours. How long would it take Jana to load the truck by herself?
Click here to see answer by stanbon(75887)

Question 294082: Question 1: Sarah takes 6 hours to complete a job which mary could do in half the time. how many hours would it take to complete the job if they both worked together?
Question 2: The time it takes to empty a tank varies inversely as the rate of pumping. if a pump working at 600 kl/min takes 45 minutes to empty a tank. how long would it take to empty the same tank if the rate was increased to 1000 kl/min?
Any help will be greatly appreciated. thx you very much in advance.
Click here to see answer by ankor@dixie-net.com(22740)

Question 294295: The ratio of daily wages of two workers is 4 : 3 and one gets daily $ 9 more than the other, what are their daily wages?
(a) $ 32 and $ 24 (b) $ 60 and $ 45 (c) $ 80 and $ 60 (d) $ 36 and $ 27
Click here to see answer by stanbon(75887)

Question 294538: It takes Nancy 45 min to rake the yard and it takes Johnny 30 min. How long would it take if they work together?
Click here to see answer by helpnalgebra(91)

Question 294538: It takes Nancy 45 min to rake the yard and it takes Johnny 30 min. How long would it take if they work together?
Click here to see answer by richwmiller(17219)

Question 294538: It takes Nancy 45 min to rake the yard and it takes Johnny 30 min. How long would it take if they work together?
Click here to see answer by Alan3354(69443)

Question 295403: one man can perform a job in 5 hours
the other can perform the same job in 6 hours
if both work together, what is the time
I am looking for the formula. the answer is 2.73, but I get 2.75

Click here to see answer by richwmiller(17219)

Question 295574: Water leaks from a tank at the rate of 10 cc per second. How much water will be left in the tank after one and a half hours, if the tank had 1000 1 of water?
Click here to see answer by edjones(8007)

Question 295720: It takes Bob four hours longer to repair a car than it takes Ken. Working together, they can complete the job in 1 1/2 hours. How long would each of them take working alone?
Click here to see answer by richwmiller(17219)

Question 295770: I am stumped with this word problem, and could use some help.
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 for x = 5.
Click here to see answer by richwmiller(17219)

Question 296397: janice and ruthie decided to clean a house together.janice could finish in 3 hours alone, and ruthie could finish in 4 hours alone. how long would it take them together?
Click here to see answer by checkley77(12844)

Question 296764: jim can fill a pool carrying buckets of water in 30 mins. sue can do the same job in 45 mins. tony can do the same job in an hour and a half. how quickly can all 3 fill the pool together?
Click here to see answer by richwmiller(17219)

Question 296951: Randy Howe can paint his house in 9 hours. His sister Candy can paint the house in 15 hours. How many hours will it take them to paint the house if they work together?
Click here to see answer by richwmiller(17219)

Question 297096: After riding at a steady speed for 40 miles, a bicyclist had a flat tire and walked 5 miles to a repair shop. The cyclist rate was 4 times faster than the walking rate. If the time spend on the cycling and walking was 5 hours, at what rate was the cyclist riding?
Click here to see answer by mananth(16946)

Question 297131: Water pours into a container at a constant rate of 4 litres per minute. When there are 50 litres of water in the container, a pump begins to pump water out at a rate of 5 litres per minute. How many minutes will it take to empty the container?
(A) 10 (B) 24 (C) 50 (D) 120 (E) None of these
Click here to see answer by Theo(13342)

Question 297224: a pool can be filled with a small hose in 24 hours, a larger hose can fill it in 8 hours. How long will it take both hoses to fill the pool?
Click here to see answer by richwmiller(17219)

Question 297556: Juan can paint the neighbor's house four times as fast as Ariel. The year they worked together it took them 8 days. How long would it take each to paint the house alone?
Click here to see answer by richwmiller(17219)

Question 297627: how to solve sam can do a work in 3 days and john can do that work in 5 days,how many days they will take to finish that work if work togather?
Click here to see answer by vleith(2983)

Question 298198: Three men can cut 72 trees in three hours. Because of a shortage of space, each time one man is added, each of the workers can cut one less tree per hour. How many trees can 5 men cut in 5 hours?

Click here to see answer by palanisamy(496)

Question 299667: need help with this word problem:
shelly can cut a lawn with a riding mower in 5 hours less time than it takes William to cut a lawn with a push mower, if they can cut the lawn in 2 hours working together find how long to the nearest tenth of an hour it takes for William to cut the lawn alone.
Click here to see answer by nerdybill(7384)

Question 299707: Together, two pipes can fill a swimming pool in 4 hours. Separately, the smaller pipe requires 6 more hours to fill the pool than the larger pipe. How many hours does it take for each pipe alone to fill the pool?
Click here to see answer by richwmiller(17219)

Question 299920: If Darrell and Ginny work together, they can finish a job in 2h 55min. Working alone, Ginny can finish the job in two hours less time than it would take Darrell. Find the time it would take each of them alone to do the job.
Thank you for the help in advanced
Click here to see answer by stanbon(75887)

Question 299860: If Sara can paint a house in 4 hours and Bill can paint the same house in 6 hours how long will it take them to paint the house together??
What is the formula for figuring this out and why?
Click here to see answer by sharon1948(6)

Question 300150: It takes Jack 9 hours longer to paint the fence than Mike. Together, they can paint the fence in 20 hours. How long will it take each person to paint the fence?
I tried solving this as an inverse work-rate problem using
1/A + 1/B = 20 but I can't get it to work.
Click here to see answer by nerdybill(7384)

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