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

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Question 844116: It takes 3 apprentices 4 hours to nail a roof. How long would it take with 5 apprentices?
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Question 844182: if 8 men prepare 1 book in 1 day then how many men will prepare 250 books in 25 day
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Question 844829: After 5 house of painting, jess asked the assistance of jon and finished the work in 4 more hours. had jon joined in an hour after jess started working, the job would have been finished in 7 hours. How long would it have taken jess to paint the house alone.
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Question 844585: If 15 assemblers can complete a certain job in 6 hours, how long will the same job take if the number of assemblers is cut back to 6?
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Question 843988: How many liters of 10% acid solution should be added to 20 liters of 60% solution of acid to obtain a 50% solution?
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Question 843840: A bricklayer can build a wall in five days, another bricklayer can build the wall in three days. How long will it take to build the wall if they are both hired?
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Question 844964: if two assemblers can assemble two toys in two minutes,how many assemblers would it take to assemble eight toys in six minutes?
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Question 844987: it takes the cold water faucet 3 times as long to fill the tub as it does the hot water faucet. Left on together, the two faucets take 3 minutes to fill the tub. How long will it take the cold water faucet to fill the tub by itself?
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Question 844986: it takes the cold water faucet

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Question 844986: it takes the cold water faucet

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Question 843823: One hose can fill a pool in 15 hours. A second can fill the pool in 10 hours. How long will it take to fill the pool using both hoses?
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Question 843775: Five sixths of a room is now painted.Carlos did two fifths of the painting.How much of the room did he paint?
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Question 839591: A cistern can be filled by an inlet pipe in 6 hours & emptied by an outlet pipe in 10 hours. After 3 hours the outlet pipe is closed. How much time to fill up the remaining part of the tank?

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Question 839211: 7) A, B, & C can do a piece of work in 10, 9, 15 days respectively. They started the work together but C left after 2 days. In how many days will the remaining work be completed by A & B?

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Question 840602: A car travels to and from a city 72km away in 2 hours. If the average speed on the return trip is 30km/h less than the trip to the city, what was the average speed of the car when it was going toward the city?
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Question 845064: it takes John three times as long to clean an office building as Lisa. If they work together, it takes 6 hours to clean. How long does it take Lisa by herself?


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Question 845404: Molly and Mike are mowing the lawn. When Mike mows the lawn by himself it takes him 3 hours, but with Molly helping it takes 2 hours. How long does it take Molly to mow the law by herself?
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Question 845395: peggy ann can wire a room in 9 hours. matthew can wire the same room in 7 hours. how long would it take if they worked together?
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Question 845396: Raul can plumb a house in 48 hours. Mira can do the same job in 36 hours. How long would it take if they worked together?
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Question 845468: Melina's typing speed is 36wpm. She finishes a job in 5 hours. How long would the same job have taken her if she typed 48wpm?
I tried it like this:
36wpm = 5hrs
12wpm(/3) = 15hrs(*3)
48wpm(*4) = 3.75hrs(/4)
Is there a more reliable solution, one with algebra pehaps?

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Question 845411: if 2 person can paint 2 house in 2 hours then, then how many person can paint 18 house in 6 hours
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Question 845455: If one painter can paint a house in 5 days and another painter can paint the same house in 3 days, how long will it take them to paint the house if they work together?
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Question 845707: Joel can finish a work in 10 days, after he has worked for 2 days, Sam came to help him and together they finish it in 3 days. In how many days could B to do work alone?
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Question 839581: Grass in lawn grows equally thick and in a uniform rate. It takes 40 days for 40
cows and 60 days for 30 cows to eat the whole of the grass. How many days does it
take for 20 cows to do the same?

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Question 846135: if it takes a pool 24 hours to fill with 4 pumps how many pumps will it take to fill the pool in 8 hours?
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Question 846198: Malorie can work 10 math problems in 3 minutes.
At this rate, how many problems can she work in one hour?

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Question 846348: A pump was used to empty a flooded basement. After 3 hours, a second bump was added and the basement was emptied in 8 more hours. The first pump could have done the job alone in 20 hours.How long would it take the second pump to do the job alone?
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Question 846386: 12 clerks are assigned to enter certain data on index cards. The number of clerks could perform the task in 18 days. After these clerks have worked on this assignment for 6 days, 4 more clerks are added to the staff to do this work. Assuming that all the clerks work at the same rate of speed, how many days will it take to complete the entire task?
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Question 846425: 300 men were engaged to complete a job in certain number of days. but due to another assignment 15 men dropped the 2nd day, 15 more men dropped the 3rd day and so on. it takes 15 more days to finish the work now. find number of days in which work is completed.
solution is 25 but how

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Question 846551: A farmer can plow a field in 9 hours, and his son can do it in 18 hours. After the farmer had plowed it for 3 hours, the boy joined him and together they completed the plowing of the field. How long did it take them?
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Question 846459: One pendulum ticks 57 times in 58 sec and another 608 times in 609 sec. If they started simultaneously then find the time after which they will tick together.
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Question 846838: A pool can be filled by one pipe in 9 hours and by a second pipe in 7 hours. How long will it take using both pipes to fill the pool?
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Question 847000: A can do a piece of work in 80 days and B in 64 days and C in 160 days. All begin to do it altogether but A leaves after 20 days and B leaves after 15 days before completion of the work. How long did the work last??
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Question 847302: One worker takes 20 hours to do a job. A second worker can do the same job in 15 hours. When a third worker is a added it take the three of them 6 hours to do the job. How long would it take the third worker to do the job?
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Question 847395: Water is flowing out of a garden hose at a rate of 10 gallons per minute into a circular swimming pool that has a diameter of 16ft. How fast is the water rising in the pool in inches per minute? Hint: The area of a circle is A=πr^2
I'm not sure how to approach this problem, I can find the area but I do not understand how I can convert the rate.

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Question 847597: 祖君的太陽
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Question 847606: The hot-water faucet takes four minutes to fill a tub, and the cold-water faucet takes three minutes for the same job. How long will it take to fill the tub if both faucets are used?
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Question 847754: two welders working together can complete a job in 6 hrs. one of the welders, working alone, can complete the task in 10 hrs. how long would it take the second welder, working alone, to complete the task
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Question 847757: a small air conditioner will cool a room 2 degrees in 15 min. a larger air conditioner will cool the room 2 degrees in 10 min. how long would it take to cool the room 2 degrees with both air conditioners running?
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Question 847968: When working alone, it takes Roy 6 hours longer to clean their entire house than it does his wife, Betty, when she does it by herself. When they work together, they can clean the entire hour in 4 hours. How long does it take each of them to clean the entire house when they are working alone.
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Question 847763: With two harvesters, a plot of land can be harvested in 1 hr. One harvester, working alone, requires 1.5 hrs to harvest the field. How long would it take the second harvester, working alone, to harvest the field?
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Question 846125: In 8 days a trench was dug by 12 men. How many days will the same trench be dug by 4 men?
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Question 846261: jack and jill can paint a house in 2 hours if they work together. if jill can paint 1.5 times faster than jack what is the time it takes them to paint the house alone?
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Question 848487: Pat can type 36 words per minute. At that rate, how many words can she type in 42 minutes?

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