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 150823: A painter can do a given job in 6 hours. Her helper can do the same job in 10 hours. The painter begins the work and after two hours is joined by the helper. In how many hours will they complete the job?
Click here to see answer by mangopeeler07(462)

Question 150822: A tank can be filled by two pipes separately in 10 and 15 minutes respectively. When a third pipe is used simultaneously with the first two pipes, the tank can be filled in 4 minutes. How long would it take the third pipe alone to fill the tank?
Click here to see answer by mangopeeler07(462)

Question 150821: One group of workers can do a job in 8 days. After this group has worked 3 days, another group joins it and together they complete the job in 3 more days. In what time could the second group have done the job alone?
Click here to see answer by mangopeeler07(462)

Question 150999: Mike, Joe, and Bill are painting a fence. The painting can be finished if Mike and Joe each work for 4 hours and Bill works for 2 hours; or if Mike and Joe each work for 2 hours and Bill works for 5 hours; or if Mike works for 6 hours, Joe works for 2 hours, and Bill works for 1 hour. How much time does it take for each man working alone to complete the painting?
Click here to see answer by ptaylor(2048)

Question 151153: A machine produces 389 bolts in 34 minutes. At the same rate, how many minutes would it take to produce 238 bolts?

Click here to see answer by ptaylor(2048)

Question 151512: A 120-gallon tub has a drain which, when open, drains water at the rate of 6 gallons per minute. If the tub is empty and the drain is open, at what rate, in gallons of water per minute, must water be added to the tub so that it fills in exactly 1 hour?
Click here to see answer by Earlsdon(6287)

Question 151817: A drain can empty a swimming pool in 8 days. A second drain can empty the same pool in 4 days. In how much time will the two drains working together empty the pool?
Click here to see answer by jojo14344(1512)

Question 151874: Mr.carlson drove a distance of 1000 miles to another city. He returned by plane. The eate of the plane was 10 times the rate at which he drove. He spent 22 hours on the trip. Find the rate at which he drove and the rate of the plane
Click here to see answer by nerdybill(6959)

Question 152129: If Sally can paint a house in 4 hours and John can pain the same house in 6 hour, how long will it take for both of them to paint the house together?
Click here to see answer by ankor@dixie-net.com(15652)

Question 152195: How long will it take workers A and B, together, to finish a job which can be done by A alone in 6 days, by B alone in 4 days?
Click here to see answer by edjones(7569)

Question 152195: How long will it take workers A and B, together, to finish a job which can be done by A alone in 6 days, by B alone in 4 days?
Click here to see answer by orca(409)

Question 152195: How long will it take workers A and B, together, to finish a job which can be done by A alone in 6 days, by B alone in 4 days?
Click here to see answer by mducky2(62)

Question 152882: A man can construct a wall in 20 hrs. With the help of his apprentice assistant the task would take 12 hrs. How long would it take the apprentice, working alone, to construct the wall?

Click here to see answer by jim_thompson5910(28595)

Question 153099: Hello, Im would appricate an help that you can offer me. Im working on rate, unit and proportions. I have read through my chapter and still a little puzzled.
1. a diver descends 10 ft in 16 sec. What is the rate of descent in feet per second?
2. An 18-oz jar of blackberry jam is on sale for $4.50. find the unit price in dollars per ounce.
3. Determine whether the pairs 10,8 and 38, 26 are proportional.
I think i can figure out the problems but im not sure how i would show the work. Please help. thank you Cheryl
Click here to see answer by nerdybill(6959)

Question 152670: The relative density of an object may be defined as its weight in air Wa, divided by the difference of its weight in air and its weight when submerged in water, Ww. For a lead weight, Wa = 1.097 Ww. Find the relative density of lead.
Click here to see answer by jojo14344(1512)

Question 153648: Ann can paint a house in 15 hours alone, and ann and susann can paint it in 6 hours how long will it take susann to paint it alone???
Click here to see answer by orca(409)

Question 154117: Candy and Tim share a paper route. It takes Candy 30 min to deliver all the papers, and it takes Tim 90 min. How long does it take the two when they work together?
Click here to see answer by ptaylor(2048)

Question 154302: A large pump can fill a 54,000 gallon reservoir in 8 hours. Working together, the largepump and a smaller one can fill the reservoir in 6 hours. How long would it take the smaller pump to fill the reservoir by itself?

Click here to see answer by jojo14344(1512)

Question 154708: Arthur can arrange a number of books in the bookshelf in x hours. Charlie can do the same job in y hours. If they work together,they will finish the same job in 6 hours. Arthur's rate is one-third of Charlie's. Find the number of hours each can do the job alone?
Click here to see answer by stanbon(57348)

Question 155072: pipe a takes 8 hours to empty out a pool. when added with pipe b it takes only 3 hourse. how long would pipe b take to empty out the pool?
Click here to see answer by ptaylor(2048)

Question 155106: If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom worked together to complete it?
thank you for all your help
Click here to see answer by ptaylor(2048)

Question 155897: Working together, Sara and Heidi can milk the cows in 2 hours. If they work alone, it takes Heidi 3 hours longer than it takes Sarah. How long would it take Heidi to milk the cows alone?
I know the answer is 6 I just don't know how to get it.
Click here to see answer by ptaylor(2048)

Question 156074: Stan and Hilda can mow the lawn in 30 min if they work together. If Hilda works twice as fast as Stan, how long does it take Stan to mow the lawn alone?
What I tried:
Since it took 30 min for both to mow the lawn, I figured it would take stan to do 1/2 the lawn in 20 min, and hilda 10 min. so it would take stan 40 min to do the lawn alone. but nope, wrong answer :(
Click here to see answer by ptaylor(2048)

Question 156116: If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes, how much time will it take all 3 of them working together to mix the 20 drinks?

Click here to see answer by oscargut(891)

Question 156331: If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes, how much time will it take all 3 of them working together to mix the 20 drinks?
Click here to see answer by ptaylor(2048)

Question 156655: An application of rational function is T=(AB)/(A+B) Which gives the time T dictates for 2 workers to complete a particular task where A+B represent the time it would take for each individual worker to complete the identical task. Then how long is would take together.
My personal example:
It takes me 3.5 hours in 1 day to do my weekly house cleaning chores.
It takes my mother 4-5 hrs a day for 4 days to do her
housecleaning chores for the week.

I need the solution to be showed, and I need you to explain it to me please. Thank you.
Click here to see answer by stanbon(57348)

Question 157157: Jack usually mows his lawn in 6 hours. Marilyn can mow the same yard in 7 hours. How much time would it take for them to mow the lawn together. (simplify your answerr. Type an integer, proper fraction or mixed number)
Click here to see answer by ptaylor(2048)

Question 157698: Two pumps of different sizes, working together, can empty a fuel tank in 5 hours. The larger pump can empty this tank in 4 hours less time than the smaller. If the larger pump is out of order, how long will it take the smaller one to do the job alone?
Click here to see answer by gonzo(654)

Question 157995: It takes 2 boys 2.5 hours to build a fort. How long would it take 3 boys to build 2 such forts?
Click here to see answer by ptaylor(2048)

Question 158018: 34% of the voters in one county voted Democratic in the last election. If 6,834 people voted Democratic, how many voters are there in the county.
Click here to see answer by checkley77(12569)

Question 158156: sally can paint house in 4 hrs and john in 6 hrs, how long together?
Click here to see answer by edjones(7569)

Question 158177: eight stock clerks can stock 26,000 cans in 10 hrs. How long will it take 5 such clerks to stock 16,250 cans?
Click here to see answer by Edwin McCravy(8909)

Question 158177: eight stock clerks can stock 26,000 cans in 10 hrs. How long will it take 5 such clerks to stock 16,250 cans?
Click here to see answer by gonzo(654)

Question 158339: A tank has a supply pipe and an exhaust pipe. The exhaust pipe takes 5 minutes longer to empty the tank than for the supply pipe to fill it. If both are open, it takes the supply pipe 30 minutes to fill the tank. Find how long it takes the supply pipe to fill the tank when the exhaust tank is closed?
Click here to see answer by ptaylor(2048)

Question 158551: Crystal just had a swimming pool put in her backyard. When full, the swimming pool holds 52,000 gallons of water. Two water pipes are available to fill her pool, and there is a drain to empty the pool. If only pipe 1 is opened and the drain is closed, the pipe can fill the pool in 5 hours. If only Pipe 2 is opened and the drain is closed, this second pipe can fill the pool in 9 hours. Crystal is impatient; so, she opens both pipes. Unfortunately, Crystal forgets to close the drain. When both pipes are closed, this open drain can empty a full pool in 4 hours.
1: How many gallons can Pipe 1 dispense in one hour?
2: How many gallons can Pipe 2 dispense in one hour?
3: How many gallons can pour down the drain in one hour?
4: The filling rate for Pipe 1 is the answer in question 1 divided by 52,000 gallons. What is the filling rate for Pipe 1? Write answer in fraction.
5: The filling rate for Pipe 2 is the answer in question 2 divided by 52,000 gallons. What is the filling rate for Pipe 1? Write answer in fraction.
6: The draining rate for the drain is the answer in question 3 divided by 52,000 gallons. What is the draining rate? Write answer in fraction.
7: With both pipes and the drain open, write a function describing what proportion of her poos is full after t hours then simplify the function. Write answers as fractions. P(t) = ?t + ?t - ?t = ?t
8: With both pipes and the drain open, what proportion of Crystal's pool is full after 6 hours? Round answer to the nearest thousandth.
9: With both pipes and the drain open, what proportion of Crystal's pool is full after 10 hours? Round answer to the nearest thousandth.
10: With both pipes and the drain open,
A) how long will it take Crystal to fill her pool? Write your answer in hours, minutes, and seconds. (round to the nearest second)
B)to the nearest gallon, how many gallons of water went down the drain during this time? (the amount of water wasted)
If Crystal had remembered to close the drain, write a function describing what percent full her pool is after t hours then simplify the function. Write answer as fractions. P(t) = ?t + ?t = ?t
11: If Crystal had remembered to close the drain how long will it take Crystal to fill her pool? Write your answer in hours, minutes, and seconds. (Round to the nearest second)
Click here to see answer by ptaylor(2048)

Question 158867: The OfficeJet printer can copy Maria's dissertation in 14 min. The LaserJet printer can copy the same document in 8 min. If the two machines work together, how long would they take to copy the dissertation?
Click here to see answer by ptaylor(2048)

Question 159244: An oriental rug manufacturer can use one loom with a setup cost of $750 that can weave a rug for $115. Another loom, with a setup cost of $950, can produce a rug for $95. How many rugs are produced if the costs are the same on each loom?
Click here to see answer by jim_thompson5910(28595)

Question 159350: THE PERIMETER OF A POOL IS 30 FT. IT IS TWICE AS LONG AS IT IS WIDE. WHAT IS THE LENGTH OF THE POOL.
Click here to see answer by jojo14344(1512)

Question 159366: A 8 horsepower pump fills a tank in 8 hours. A 3 horsepower pump fills it in 12 hours. Both pumps are turned on and begin to fill the tank. After 4 hours the 8 horsepower pump breaks. How long will it take the 3 horsepower pump to finish?
Click here to see answer by edjones(7569)

Question 159527: I am printing books in my house, and I have two printers available. My older printer can print one book in 3 hours, whereas my newer printer can finish a book in 1 hour and 20 minutes. At the same time, while these books are printing, my nephew will tear up one book every 6 hours. How long does it take to complete 38 books?
Click here to see answer by ptaylor(2048)

Question 159671: Painting - You and your friend are painting the walls in your apartment. You estimate that there is 1000 square feet of space to be painted. You paint at a rate of 4 square feet per minute and your friend paints at a rate of 3 square feet per minute. your friend shows up to help you paint 45 minutes after you have already started painting.
a. Write an equation that gives the total number of square feet y as a function of the number of minutes x it takes to paint all of the walls.
b. How long will it take you and your friend to finish painting?
I was thinking for part a - y=4x + (3x-45) but I don't think that is right.
Click here to see answer by ptaylor(2048)

Question 160229: if steven can mix 20 drinks in 5 minutes.sue can mix 20 drinks in 10 minutes. jack can mix 20 drinks in 15 minutes.how much time will it take all three of them working together to mix the 20 drinks
Click here to see answer by ptaylor(2048)

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