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

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Question 908726: Twins Dante's and Edmund have been taking turns each week shampooing the living room carpet (dimensions 5.40m north-south by 3.60m east west) it takes Dante three hours to shampoo the whole carpet, while Edmund can do the same job in two and a half hours. how long does it takes them to shampoo the whole carpet?
Click here to see answer by ankor@dixie-net.com(22740)

Question 908763: A brick mason requires 12 hours to lay a garden wall by himself. After the mason and his helper worked for 3 hours, the mason left to finish a different job. The helper took 12 more hours to finish the job. How long would it have taken for the helper working alone to do the whole job?
Click here to see answer by richwmiller(17219)

Question 908139: P can do a piece of work in 20 days and Q in 24 days. find how much time will they take to complete the work if they work alternately starting with P ?
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Question 908580: P can do a piece of work in 20 days and Q in 24 days.
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Question 908772: suppose you are filling a old well woth dirt. after 2 hours it is 12 feet deep and after 5 hours it is 8 feet deep. write a linear equation to model the relationship between time(x) and depth(y)

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Question 908930: With both hot and cold water running, a bathtub can be filled in 8 min. The drain will empty the tub in 10 min. A child turns both faucets on and leaves the drain open. How long will it be until the bathtub starts to overflow?
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Question 908925: A welder requires 24 h to do a job. After the welder and an apprentice work on the job for 12 h, the welder quits. The apprentice finishes the job in 12 h. How long would it take the apprentice, working alone, to do the job?
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Question 908927: An experienced bricklayer can work twice as fast as an apprentice bricklayer. After they worked together on a job for 4 h, the experienced bricklayer quit. The apprentice required 12 more hours to finish the job. How long would it take the experienced bricklayer, working alone, to do the job?
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Question 908981: If it takes Matt 20 minutes to sort the mail and 12 minutes if he works with Ryan, how long will it take Ryan to sort the mail alone?
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Question 908929: A commercial jet can fly 450 mph in calm air. Traveling with the jet stream, the plane flew 2400 mi in the same amount of time it would take to fly 1600 mi against the jet stream. Find the rate of the jet stream.
Click here to see answer by ewatrrr(24785)

Question 909064: One crew can seal a parking lot in 12 hours and another in 16 hours. How long will it take to seal the parking lot if the two crews work together?

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Question 909157: It takes 12 painters to paint 4 rooms in 6 days. How many painters is needed to paint 12 rooms in 3 hours?
Click here to see answer by josmiceli(19441)

Question 909230: A home builder wants to build a rectangular deck on the back of the house. One side of the deck will share a wall with the house, and the other three sides will have a wooden railing. If the builder has enough wood for 15 meters of railing, what is the area of the largest deck he could build.
Click here to see answer by Alan3354(69443)

Question 909303: It takes Nick 50 hours to finish his bathroom.
It takes John 40 hours to finish his same-sized bathroom.
How long would it take them to finish one bathroom of the exact same dimensions?
(Round to the nearest tenth)

Please explain your approach on how to solve this problem.

Click here to see answer by josgarithmetic(39613)

Question 909359: If A completes a particular work in 4 days and B the same work in 12 days. How many days will it take if they work together?
Click here to see answer by richwmiller(17219)

Question 909513: An inlet pipe on a swimming pool can be used to fill the pool in 25 hours. the drain pipe can be used to empty the pool in 30 hours. if the pool is 1/3 filled and then the inlet pipe and drain pipe are opened, how long from that time will it take to fill the pool.
Click here to see answer by stanbon(75887)

Question 909527: Frank ca type 500 pages in 50 hours and James takes 75 hours. If a third typist is added, and all three work together, the job is done in 25 hours. How long would the third typist take to do the job on her own? Based on this analysis, should they hire her.
I got a negative answer. Not sure if I had set up the problem correctly.
Thank you for your help
Click here to see answer by richwmiller(17219)

Question 909693: A 100 liter storage tank is to be filled with solvent from two pipes, A and B. solvent A is pumped at a rate of 25litres/min. Solvent B is pumped at a rate of 40 liters/min. How many additional minutes are required to fill up the storage tank, if pipe A is opened 4 minutes before pipe B?
Click here to see answer by josgarithmetic(39613)

Question 909691: A 100 liter storage tank is to be filled with solvent from two pipes, A and B. solvent A is pumped at a rate of 25litres/min. Solvent B is pumped at a rate of 40 liters/min. How many additional minutes are required to fill up the storage tank, if pipe A is opened 4 minutes before pipe B?
Click here to see answer by josgarithmetic(39613)

Question 909789: A 1000 liter storage tank is to be filled with solvent from two pipes, A and B. solvent A is pumped at a rate of 25litres/min. Solvent B is pumped at a rate of 40 liters/min. How many additional minutes are required to fill up the storage tank, if pipe A is opened 4 minutes before pipe B?
Click here to see answer by josgarithmetic(39613)

Question 909815: tutor quick help plz and solution. Ed required 12 hours to lay linoleum tile on his kitchen floor, a job which would take his neighbor Bert only 8 hours to do. They started working together, but after two hours, Bert had to stop and Ed finished the work alone. How many hours more did it take Ed to finish the job?
Click here to see answer by mananth(16946)

Question 909816: John and his father can do a job in 4 1/2 days. After working 3 days, the father fell ill and John finished the task in 6 days. Working alone, in how many days did each of them finish the entire task?
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Question 909914: Lamont can complete his math homework in 6 hr. Somto can complete his math homeowrk in 9 hr. Working together, how long will it take them to do the math homework?
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Question 909915: It takes the Canon printer 15 min longer to print a set of photos than it takes the HP printer. Together, it takes them 180/7 min to print the photos. How long would it take each machine, working along, to print the photos?
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Question 909817: A businessman found out that one of his 2 employees can type a certain number of form letters in 5 hours, while another requires 4/5 as long. Working together, how long will it take them to finish the same amount of work?
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Question 909952: a. a printer prints 22 pages in 7 minutes. how many does it print in 1 minute?
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Question 910210: A tank can be filled by a pipe in 3 hours and emptied by another pipe in 4 hours. How much time will be required to fill an empty take if both are running?
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Question 910120: Together John and Michael can paint a wall in 23 minutes. Alone John needs 15 minutes longer to paint the wall than Michael needs. How much time does John need to paint the wall by himself? Give your answer to the nearest tenth of a minute.
Click here to see answer by richwmiller(17219)

Question 910220: Together John and Michael can paint a wall in 22 minutes. Alone John needs 15 minutes longer to paint the wall than Michael needs. How much time does John need to paint the wall by himself?
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Question 910218: A tank has three pipes connected. The first, by itself, could fill the tank in 2.5 hours, the second in 2 hours, and the third in 1 hour and 40 minutes. In how many minutes will the tank be filled?
Click here to see answer by josmiceli(19441)

Question 910246: Frank can do in 8 days a task which he and James together can do in three days. How many days would be required for James to do the work alone?
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Question 910247: Someone help pls cant answer help help pls. An airplane went 960 miles in the same length of time that a second plane went 1,200 miles. The speed of the second plane was 40 miles an hour faster than that of the first. How long did each plane travel?
Click here to see answer by josgarithmetic(39613)

Question 910353: Together John and Michael can paint a wall in 31 minutes. Alone John needs 11 minutes longer to paint the wall than Michael needs. How much time does John need to paint the wall by himself? Give your answer to the nearest tenth of a minute.

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Question 910322: a person worked 68 hours and was paid 2234.64. there over time is any amount over 40 hr. what is there rate of pay
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Question 910501: A vat is filled by 2 taps. One tap can fill the vat in 20 mins. the other tap can fill the vat in 10 min. how long will it take the 2 taps to fill the vat?
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Question 910531: Together John and Michael can paint a wall in 21 minutes. Alone John needs 11 minutes longer to paint the wall than� Michael needs. How much time does� John need to paint the wall by himself? Give your answer to the nearest tenth of a minute.
Click here to see answer by richwmiller(17219)

Question 910245: A can do a piece of work in 4 1/2 days. After he has worked three days, B joined him and they finished the work in 1 7/8 days. How long can B do the work alone?
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Question 910530: An inlet pipe can fill a tank in 6 minutes. A drain can empty the tank in 9 minutes. If the tank is empty, and both the pipe and drain are open, how long will it take before the tank overflows?
Click here to see answer by richwmiller(17219)

Question 910244: Nestor can do a piece of work in 10 days. After working 3 days on it, he is joined by Vic and they finished the remaining work in 2 1/3 days. In how many days can Vic do the work alone?
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Question 910610: 60 people can finish a work in 15 days. After doing 6 days of work, 12 people added to the group for completing the same work. In how many days, they will complete the work?
Click here to see answer by ankor@dixie-net.com(22740)

Question 910622: Together John and Michael can paint a wall in 29 minutes. Alone John needs 13 minutes longer to paint the wall than Michael needs. How much time does John need to paint the wall by himself? Give your answer to the nearest tenth of a minute.
Click here to see answer by richwmiller(17219)

Question 910643: A tank can be filled by a certain pipe in 18 hours. Five hours after this pipe is opened, it is supplemented by a smaller pipe which, by itself, could fill the tank in 24 hours. Find the total time, measured from the opening of the larger pipe, to fill the tank.
Click here to see answer by josgarithmetic(39613)

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