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 1059172: If 8 men can paint a school in 15 days, how many days would it take for 12 men to paint the same school , assuring that they work on the same rate.
Click here to see answer by jorel555(1290)

Question 1059214: If 8 men paint a school in 15 days, how many days will 12 men take to paint a similar school, assuming that they work on the same rate?
Click here to see answer by josgarithmetic(39613)

Question 1059399: James can detail a car by himself in 60 minutes. Manny does the same job in 55 minutes. How long will it take them to detail a car working together?
Click here to see answer by josgarithmetic(39613)

Question 1059380: 9 hens can lay 9eggs in 9 days. How many eggs can lay by 3 hens in 3 days?
Click here to see answer by josgarithmetic(39613)

Question 1059665: if Tammy can clean half the area in one hour by herself and melissa can clean one third the area in an hour by herself then how quickly can they clean the entire area together.
Click here to see answer by ikleyn(52747)

Question 1059818: Father can do the job on the farm in 6 hours. The older son can do it in 8 hours. The younger son can do same job in 12 hours. How long will it take them to do the job, if they all work together?

Click here to see answer by josgarithmetic(39613)

Question 1059935: Together,Paul and Daniel can pick 40 apples in 4.95 hours, if it takes Daniel 9 hours alone, how long would it take Paul?

Click here to see answer by josgarithmetic(39613)

Question 1059935: Together,Paul and Daniel can pick 40 apples in 4.95 hours, if it takes Daniel 9 hours alone, how long would it take Paul?

Click here to see answer by MathTherapy(10549)

Question 1059961: it takes Sandra 45 minutes to read 105 pages of a book. how many pages can she read in 3 hours
Click here to see answer by Alan3354(69443)

Question 1060194: Dave takes 5 days to paint a house. Jo can paint twice as fast as Dave. How many days would it have taken Jo to paint the house?
Click here to see answer by Boreal(15235)

Question 1060240: I drove to my parents' house at 60 miles per hour. If I had driven 50 miles an hour instead, then I would have gotten there 40 minutes later. How many miles did I drive?
Click here to see answer by josgarithmetic(39613)

Question 1060435: One hose can fill a swimming pool in 32 hours. A different one can do it 56 hours. How long would it take to fill the pool using both hoses?
Click here to see answer by ikleyn(52747)

Question 1060515: It takes Lily 45 minutes to mow the lawn. When she works with her brother, Preston, it takes only 20 minutes. How long would it take Preston to mow the lawn himself?
Click here to see answer by math_helper(2461)

Question 1061244: It took 4 painters 12 days to paint a house. How long would it take 3 painters to paint the same house? How do you solve it?
Click here to see answer by josmiceli(19441)

Question 1061373: please help me solve this:
Jim harvests his plants in 8 hours and Kulas harvests the same in just 4 hours. how many hours will it take them to harvest plants working together?
Click here to see answer by ikleyn(52747)

Question 1061374: Jim harvests his plants in 8 hours and Kulas harvests the same in just 4 hours. how many hours will it take them to harvest plants working together?
Click here to see answer by ikleyn(52747)

Question 1061594: If it would take one printer 4 hours to print the company newsletter and it would take a different printer 6 hours to do the same job, how long would it take if both printers are used?
Click here to see answer by stanbon(75887)

Question 1061623: An inlet pipe on a swimming pool can be used to fill the pool in 34 hours. The drain pipe can be used to empty the pool in 35 hours. if the pool is 1/2 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 Boreal(15235)

Question 1061670: a newsletter printing job needs to be done each week. using an older copy machine the job took 2.5 hours to complete. then a new machine was brought in and using both machines, the job could be completed in 1 hour. how long would it take the new machine to do the job alone
Click here to see answer by stanbon(75887)

Question 1061740: It takes Nate five hours to paint a wall, and it takes Jill seven hours to paint the same wall. About how many hours will it will take if Nate and Jill work together to paint the wall?
Click here to see answer by stanbon(75887)

Question 1061794: James can paint a room in 4 hours, while Mike can paint the same room in 5 hours. Working together, how many hours will it take them to paint the room if James only works for one hour?
Dear tutor,
I solved this problem 3 ways, and I got the same answer, but I don't think I am understanding what is this problem really asking. Is it asking for the total time spent on the project (painting) OR is it asking for the time that Mike only spent working on the project?
Method 1:
J
1 job/4 hours
M
1 job/5 hours
Project Time
1 job/x hours
1 hour*(1 job/ 4 hours) + (x-1)*(1 job/5 hours) = 1 job
1/4 + (x-1)/5 = 1
5 + 4(x-1) = 20
x=19/4 = 4 3/4 hours = 4.75 hours
Based on my set-up (project time equal to 1 job/x hours), the x represents the project time. So, the whole project of painting the room is 4.75 hours. HOWEVER, THIS IS NOT LISTED AMONG ANSWER CHOICES!From this time, 1 hour is spent painting by James, and the rest by Mike. So Mike was painting for 3.75 hours. WHAT IS THE QUESTION REALLY ASKING, IS IT PAINTING BY MIKE OR PAINTING BY BOTH? IS THE ANSWER 3.75 HOURS OR 4.75 HOURS? I ANSWERED 4.75 HOURS, BUT IT'S THE WRONG ANSWER!
Method 2:
(3/4)job remaining and that job will be done now by M at the rate of 1 job/5 hours, therefore
(3/4)job/(1job/5hours) = 15hours/4=3 3/4 hours = 3.75 hours, so this is the time that M spent painting or that M spent on the project. Since J spent 1 hour on the project per givens in the question stem, then total time on the project is 4.75 hours. HOWEVER, 4.75 HOURS IS NOT AMONG ANSWER CHOICES, BUT 3.75 HOURS IS. I AM NOT SURE WHY.
Method 3:
1 hour*(1job/4hours) + x hours*(1job/5hours)=1 job
contribution of one person +contribution of second person gives me whole job
Since I don't know how many hours M worked on the project, I just set it to x hours.
1/4+x/5=1
x=15/4 hours = 3 3/4 hours=3.75 hours
This is the time that M spent on the project (painting). THE BOOK SAYS THAT 3.75 HOURS IS THE CORRECT ANSWER, BUT I AM NOT UNDERSTANDING WHY, SINCE THE QUESTION IS ASKING FOR TOTAL PROJECT TIME. ISN'T TOTAL PROJECT TIME 4.75 HOURS? WHY THEN THE ANSWER IS 3.75 HOURS?
Click here to see answer by josgarithmetic(39613)

Question 1061787: Joan had 2.5 times as many books as I do. You could also say she has 27 more books than I do. How many do I have?

Click here to see answer by ikleyn(52747)

Question 1062099: please help me solve this problem,
it takes 16 minutes for 9 people to paint 8 walls. how many minutes does it take for 4 people to paint 6 walls?
Click here to see answer by josgarithmetic(39613)

Question 1062325: "You average 3.6 calls per half hour yesterday."
"So I took a total of ? calls in 7.5 hours yesterday."
22.5
27
30
40.5
54
Click here to see answer by Alan3354(69443)

Question 1062417: A,B, C can do w piece of work in 12 ,15,20 days .If A leaves 2 days after starting the work and C leaves 2 days before its completion ,in how many days the whole work is completed.
Click here to see answer by stanbon(75887)

Question 1062414: It takes 6 people working at the same time 2 hours to put up a fence that is 80 feet long. Assuming all people work at the same speed, how long will it take 8 people to put up a fence that is 135 feet long?
Click here to see answer by ikleyn(52747)

Question 1062444: Tank A is cylindrical with diameter 22 ft and height 12 ft. Tank B is cylindrical with diameter 28 ft and height 18 ft. Both tanks start half full when the pumps are engaged. Pump A fills Tank A at 4.3 ft^3/s while pump B fills tank B at 2.1 ft^3/s. How long must the pumps work until the tanks have the same amount?
Click here to see answer by josgarithmetic(39613)

Question 1062498: Radha and medha together takes 10 hours to complete a work. Radha takes 15 hours to complete the same job. How much time will medha take to complete the work?
Click here to see answer by josgarithmetic(39613)

Question 1062566: If a person sells flowers for $.50 each, what is that sellers cost if she makes $6.00 for every 20 flowers sold?
Click here to see answer by josmiceli(19441)

Question 1062592: Owners of a recreation area are filling a small pond with water. They are adding water at a rate of
35
liters per minute. There are
700
liters in the pond to start.
Let W represent the amount of water in the pond (in liters), and let
T represent the number of minutes that water has been added. Write an equation relating
W to T, and then graph your equation using the axes below.
I am stuck on the graphing part. The graph shows the W = Y axis goes form 100-1,000 and the T = x axis goes from 1 -8.
How do I graph this?
Can you please help me.
Click here to see answer by ikleyn(52747)

Question 1062659: Danny can finish a job in 10 days. Together, Miguel and Danny can finish the same job in 6 days. How many days will it take Miguel to finish the job alone?
Click here to see answer by rothauserc(4718)

Question 1062647: A can do as much work in 5 days as B can do in 6 days.If both of them work together can do the work in 12 days,in how many days can each of them complete the work alone?
Click here to see answer by josmiceli(19441)

Question 1062763: It takes Terell 65 minutes to weed his garden if he does it every 2 weeks, while his wife can get it done in 45 minutes. How long would it take them working together? Round to the nearest tenth of minute.
Click here to see answer by math_helper(2461)

Question 1063047: Helper A can do cleaning of a room in 30 minutes. Helper B can do it in 20 minutes. Both helpers are needed to clean the room. How much time they will speed in the process?
Click here to see answer by rothauserc(4718)

Question 1063140: Machine A produces 100 parts twice as fast as machine B does.Machine B produces 100 parts in 40 minutes.If each machine produces parts at a constant rate,how many parts does machine A produce in 6 minutes.
Click here to see answer by josmiceli(19441)

Question 1063269: if it took 3 people 10 hours to plant a large garden,how long would it take 1 person.
Click here to see answer by Alan3354(69443)

Question 1063323: problem given to me is:Yolly can clean the room in 9 minutes and Marie can do it 60 minutes. if Yolly cleans the room for 15 minutes before Marie joins her, how long would it take them to finish? my question is how can i translate it to an equation?

Click here to see answer by josmiceli(19441)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910