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 417545: A moving sidewalk at an airport is glides at a rate of 1.8 feet per second. Walking on the moving sidewalk, you travel 105 feet forward in the same time it takes to travel 50 feet in the opposite direction. Assuming that you walk at the same pace, find your walking speed if you were on a flat, non-moving sidewalk. Round to the nearest tenth.
Click here to see answer by stanbon(75887)

Question 417815: When 2 pipes are open, a tank is filled in 12 minutes. On one occasion, the first pipe was open for 10 minutes. Then the second pipe was opened and together they finished in 6 minutes. How long would it take each pipe by itself to fill the tank? Heeeeelp.
Click here to see answer by lwsshak3(11628)

Question 418517: Two men working together can do a job in 20 days. After both have been working 10 days, one quits. The other man finishes the job in 12 more days. How many days would each man have needed to do the job alone?
Click here to see answer by scott8148(6628)

Question 418676: one pipe fills a tank in 8 minutes, another pipe can fill it in 12 minutes. find the time taken to fill the tank when both pipes are running together?
Click here to see answer by nerdybill(7384)

Question 36645: accountant A can balance books twice as fast as accountant B. Together it takes 6 hours to complete a job. How long would it take A to complete the job alone?
please help
I came up with x+2x=6
3x=6
B=2 hours
A=x hours
x=2 hours for A
2x=4 hours for B
is this correct?
Click here to see answer by jorel1380(3719)

Question 37597: Could you help me with this work problem?
I keep getting a negative result...is that correct?
Question:
An inlet pipe can fill a barrel with wine in 8 hrs, while an outlet pipe can empty it in 6 hrs. Through an error, both pipes on a full barrel are left open. How many hours will it take to empty the barrel?
This is what I have...
_________________________________________________
Rate Time to empty job done
_________________________________________________
inlet 1/8 x x/8
_________________________________________________
outlet 1/6 x x/6
_________________________________________________
x/8 - x/6 = 1
(find LCD) 24
(24)(x/8 - x/6) = (24)1
3x - 4x = 24
-x + 24
x = -24 hrs?
I need help!!!

Click here to see answer by jorel1380(3719)

Question 41849: Two machines are turned on at 8 AM. If one can produce 41 items each hour and the other can produce 50 items each hour, at that time will they produce a total of 182 items?
Click here to see answer by jorel1380(3719)

Question 52272: A used car dealer sold two cars and received $560 for each car. One of these transactions amounted to a 40% profit for the dealer, whereas the other amounted to a 20% loss. Show that the dealer�s net profit on the two transactions was $20.

Click here to see answer by jorel1380(3719)

Question 420131: Two identical tanks full of water are being drained at the same time. One of the tanks has one- two inch circular drain outlet and the other has two- one inch circular drain outlets. Which will drain faster and why?
Click here to see answer by robertb(5830)

Question 420854: One copy machine copies twice as fast as another. If both copiers work together, they can finish a particular job in two hours. How long would it take the slower copier to complete the job working alone?
Click here to see answer by ankor@dixie-net.com(22740)

Question 365271: A town's old street sweeper can clean the streets in 60 hours. The old sweeper together with a new sweeper can clean the streets in 15 hours. How long would ti take the new sweeper to do the job alone?
Click here to see answer by mjackson73(1)

Question 421803: the difference of a number and two times its reciprocal is 7/3. find the numbers
Click here to see answer by stanbon(75887)

Question 421805: Meg can arrange the books for a book sale in 9 hours. Kelly can set up for the same book sale in 12 hours. How long would it take them, working together, to set up for the book sale?
Click here to see answer by stanbon(75887)

Question 421865: one pipe can fill the pool in 6 hours.another pipe can fill the pool in 8 hours .if both pipes are open,how long will it take the pool to be filled?
Click here to see answer by mananth(16946)

Question 422325: Hello. Uhm. I don't know how to answer the question. Can you help me answer it?
Gab can finish sewing 100 shirts in 15 days. He has been working for 3 days when he asked help from another tailor. Together, they finish the job in 3 days. How long can the other tailor do his job alone?
Thanks, in advance!
Click here to see answer by ewatrrr(24785)

Question 423212: Paolo and JOse drove in opposite directions. After three hours they were 63 km apart. Paola drove 3 km faster tha Jose. How fast did Paola drive?
Click here to see answer by shree840(260)

Question 423210: Joan is traveling on a bike path at 20 miles per hour. Thirty minutes after she started, Jack follows her at 25 miles per hour. How long does it take Jack to catch up with her?
(by me)-> please show equation construction,
I'm left-handed so I'm a bit of a spatial learner, need to see to fully understand.
Click here to see answer by Alan3354(69443)

Question 423289: the hot water faucet fills a tub in 40 min and the cold faucet fills it in 30 min. The tub can be drained in 20 min. If both faucets are turned on and the drain is open, how soon will and empty tub be filled?
Click here to see answer by scott8148(6628)

Question 423840: I need to replace some sod in my yard. Sod comes in rectangular pieces that measures 24 inches by 15 inches.
There are four areas in my yard where this sod needs to be place. These three places measure (in feet):
8 x 10
6 x 6
14 x 17
30 x 7
My question is, given the size of the sod and the size of the affected areas, how many individual pieces of sod will it take to fill in these four areas?

Click here to see answer by ewatrrr(24785)

Question 423962: if one man paints a wall in 30 minutes and another paints the same wall in 20minutes how long would it take if they both painted it.

Click here to see answer by linht117(37)

Question 424136: Jack mows his lawn in six hours, Mary takes seven hours to mow the lawn. If they work together how long would it take them?
Click here to see answer by ankor@dixie-net.com(22740)

Question 424584: i could use some help with this problem, nigel can paint a room in 8 hours, while phil can paint the same room in 6 hours how long would it take them to paint 4 rooms of that same size?

Click here to see answer by ankor@dixie-net.com(22740)

Question 424425: With only the small valve open, all of the liquid can be drained from a large vat in 4 hours. With only a large valve open, all of the liquid can be drained from the same vat in 2 hours. How long would it take to drain the vat with both valves open?
a. the vat will be empty in 1 hour and 45 minutes
b. the vat will be empty in 1 hour and 30 minutes
c. the vat will be empty in 1 hour and 20 minutes
d. the vat will be empty in 1 hour and 12 minutes
e. the vat will be empty in 50 minutes
Click here to see answer by ankor@dixie-net.com(22740)

Question 425115: Four people can varnish the wooden deck of their ship in 3 hr and 14 min. Suppose that three people have to do this job. If all people work at the ame rate, how long will it take three people to varnish the deck?
Click here to see answer by ankor@dixie-net.com(22740)

Question 425314: if it takes 9 men 15 days to do a job, how do you work out how long job will take, if you add another 3 men to help who are twice as fast as those 9 men?
Click here to see answer by stanbon(75887)

Question 425407: Alyse and Jeremy are washing their father's car. Alyse can wash the car by herself in 20 minutes. Jeremy can wash the car by himself in 30 minutes. How long does it take them to was the car if they work together.
Click here to see answer by Gogonati(855)

Question 425458: Pls help: "it takes 6 people 10 hours to complete a certain job. How many hours will it take 10 people working at the same rate, to complete 2/3 of the same job"
Click here to see answer by robertb(5830)

Question 425479: If a boat goes downstream 72 miles in 3 hours and upstream 60 miles in 6 hours, the rate of the river and the rate of the boat in still water respectively are?
Click here to see answer by Alan3354(69443)

Question 425683: Hi, My name is Jakarria. I'm not to good on word problems and I need help solving this question please.
**If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?
I tried taking 6 and dividing it by 4 and i tried subtracting it. I did't exactly come up with the exact answer but i just came up with an answer that had at least 2 hours and I got the question wrong.
Click here to see answer by emargo19(101)

Question 425988: If it takes 6 workers one hour to put together one car, how long would it take 9 workers to produce the same
car?
Click here to see answer by stanbon(75887)

Question 426333: A man wills $18,000 to his 3 sons. The 1st and 2nd sons are to receive sums in the ratio of 4:3, and the 1st and 3rd sons are to receive sums in the ratio of 2:1. find the sum each son gets.

Click here to see answer by stanbon(75887)

Question 71604: The 1000 gallon tank of water contains 6% salt. How much water do you need to get it down to 4%.
Click here to see answer by jorel1380(3719)

Question 426337: It takes one day to fill the vat with this large pipe; two days with that' The third pipe needs but one day more; The fourth pipe fills the vat in four. If all four pipes together fun, How many HOURS before the task is done?
Click here to see answer by ankor@dixie-net.com(22740)

Question 426465: If it takes 6 workers to put together one car, how long would it take 9 workers to produce the same car?
Click here to see answer by edjones(8007)

Question 71096: "3 Pipes of different sizes are filling up a pool. Pipe1 fills it up a third of the time that it takes Pipe3, and Pipe2 fills it up a half of the time that it takes Pipe3. How long will it take each pipe to fill up the pool by itself?"
-if you set up a table, i'm not sure where the variable would go, or when you set up the equation[[Pipe 1 work done + Pipe 2 work done + Pipe 3 work done = ?]] should that ? be a 1, for one hour, or a 3, for the 3 hours it took to fill up the pool with all of the pipes?
Click here to see answer by jorel1380(3719)

Question 73418: Leo fnished 2/3 of a job in 12 hours. When he was joined by Ed, they completed the job in 2 hours. How many hours would it take Ed to do the job alone.
Click here to see answer by jorel1380(3719)

Question 427275: If a certain job can be finished by 18 workers in 26 days. How many workers are needed to finish job in 12 days?
Click here to see answer by robertb(5830)

Question 426921: 24a + 40
_________
12
Click here to see answer by gwendolyn(128)

Question 427897: Working alone, two painters, A and B, can paint a building in 12 and 16 days respectively. After they work together for 3 days, A leaves and B continues for 2 more days. Then C joins B and they finish the job in 3 more days. In what time could C do the whole job alone?
Click here to see answer by ankor@dixie-net.com(22740)

Question 428538: Crane A can unload the dumpster in 10 hours, and Crane B CAN UNLOAD it in 14 hours. Crane A and B started to unload the dumpster at noon. At what time was the unloading job of the dumpster completed?
Click here to see answer by ptaylor(2198)

Question 429340: Together Maria and Johannes can pick a bushel of apples in 16 min. Maria takes 4 min more to pick a bushel than Johannes does. Find the time it takes each person to pick a bushel of apples alone.
Click here to see answer by ankor@dixie-net.com(22740)

Question 429524: Cindy is working her way through school. She works two part-time jobs for a total of 24 hours a week. Job A pays $5.70 per hour, and Job B pays $6.60 per hour. How many hours did she work at each job the week that she made $150.30.
Click here to see answer by poliphob3.14(115)

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