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 885981: Mary and Carol are doing a month project. Carol can do work twice as fast as Mary. If they work together they can finish the project in 4 hours. How long does it take to do the same project?
Click here to see answer by josmiceli(19441)

Question 886043: A tank is filled in 9 hrs. and drained in 11 hrs. How long will it take to fill the tank if the drain is left half open.
Click here to see answer by Edwin McCravy(20081)

Question 886219: One factory takes four days to produce an airplane, another takes five, and a
third takes seven days. How long does it take the three factories combined to
produce eighty-three airplanes?
Click here to see answer by stanbon(75887)

Question 886201: How many days will 1200 persons take to construct a bridge, if 450 persons can build the same in 45 days?
Click here to see answer by Edwin McCravy(20081)

Question 886309: HOW MANY MEN WILL IT TAKE TO CUT AN AREA OF GRASS 20 FEET BY 20000 FEET IN THREE DAYS

Click here to see answer by richwmiller(17219)

Question 886337: diana can decorate 15 cookies in an hour; jane can decorate 15 cookies in two hours. how many hours would it take to decorate 60 cookies if they worked together?
Click here to see answer by JulietG(1812)

Question 886383: You paint 12 wall in 14 hour. At that rate, how long will it take you to paint one wall?
Click here to see answer by stanbon(75887)

Question 886388: This is a practice GRE question from a Kaplan helpsite. I believe the answer is wrong, but maybe I'm not understanding it. The question is:
One hose can fill a pool 2.25 times faster than another hose can. When both hoses are used, they fill the pool in 10 hours. How long would it take to fill the pool if only the faster hose is used?
Their answer is 90/13 hours. Logically this doesn't make sense, how can one hose (7 hours) be faster than two hoses (10 hours)? I came up with 14.4 hours (13/9) but can't seem to get the math to look right. Thanks for your help!
Click here to see answer by stanbon(75887)

Question 886482: A novice hiker can walk a 50 mile trail in 10 hr. the hiker traveled the first 20 miles of the trail at a constant rate before decreasing the rate by 1 mph. Find the rate for each part of the hike.
I know the average of the whole thing would be 5 mph.
I tried 5.5mph for the first 20 and 4.5 for the last 30 but the time I got is 10 hours 17 min.
Click here to see answer by lwsshak3(11628)

Question 886484: an older computer requires 15 min longer to print the payroll than does a newer computer. together the computers can print the payroll in 10 min. find the time for the new computer working alone to print the payroll.
I got 15 min. Is this right???
Click here to see answer by lwsshak3(11628)

Question 886586: 100 men can finish a work in 100 days. Every day two men leaves the work. Then how many days eill the work take to finish.
Click here to see answer by Edwin McCravy(20081)

Question 886752: Working together, two people can cut a large lawn in 5 hr. One person can do the job alone in 1 hr less than the other. How long would it take the faster person to do the job?
Click here to see answer by JulietG(1812)

Question 886770: Crispin can clean the auditorium in 12 minutes while Tonio can do the job in 8 minutes. When Tonio arrived at the auditorium one day, he found Crispin already at work. IF the 2 were able to finish cleaning the rest of the auditorium in 4 minutes, what part of the audiorium had Crispin finished cleaning when Tonio arrived?
Click here to see answer by Theo(13342)

Question 878165: To do a job alone, it would take Jennifer 5 hours,
Bob 8 hours, and George 10 hours. How long will
It take if they all work together?
Click here to see answer by richwmiller(17219)

Question 886951: If Lisa and Mark can mow their lawn together in 1 hour, and Lisa can mow the lawn by herself in 3 hours, what is Mark's rate, working alone? I came up with this equation: t1/3 + t =1 and of course my answer is wrong.

Click here to see answer by MathTherapy(10809)

Question 887011: -6/t + 1/3 = 0
Click here to see answer by Alan3354(69443)

Question 887113: if jon can paint a fence in 3 hours and karen can paint it in 6 hours , find how long it takes them to paint it together.
Click here to see answer by JulietG(1812)

Question 887113: if jon can paint a fence in 3 hours and karen can paint it in 6 hours , find how long it takes them to paint it together.
Click here to see answer by MathTherapy(10809)

Question 887113: if jon can paint a fence in 3 hours and karen can paint it in 6 hours , find how long it takes them to paint it together.
Click here to see answer by Alan3354(69443)

Question 887113: if jon can paint a fence in 3 hours and karen can paint it in 6 hours , find how long it takes them to paint it together.
Click here to see answer by richwmiller(17219)

Question 887093: A pipe can fill a container with water in 3 hours. However, if water is drawn from it at the same time at the rate of 4 cubic feet per hour it requires 5 hours to fill it. At what rate is the pipe delivering water?
Click here to see answer by josgarithmetic(39799)

Question 887194: How long will it take workers to complete a task, given that workers can complete the same task in days?
Click here to see answer by JulietG(1812)

Question 887192: four boys can build a fort in 6 hours. how many hours would it take 5 boys to build the exact same fort?
Click here to see answer by JulietG(1812)

Question 887220: if 10 people made 1 building in 40 days then in how many days will it take 20 people to build the 1 building?
Click here to see answer by Theo(13342)

Question 887381: Finding rates Two trains made the same 315-mile run. Since one train traveled 10mph faster than the other, it arrived 2 hours earlier. Find the speed of each train.

Click here to see answer by dkppathak(439)

Question 887380: Housecleaning. Sally can clean the house in 6 hours, and her father can clean the house in 4 hours. Sally's younger brother, Dennis, cna completely mess up the house in 8 hours. If Sally and her father clean and Dennis plays, how long will it take to clean the house?
Click here to see answer by lwsshak3(11628)

Question 887379: A pipe can fill a pool in 9 hours. If a second pipe is also used, the pool can be filled in 3 hours. How long would it take the second pipe alone to fill the pool.
Click here to see answer by Alan3354(69443)

Question 887466: 4 men and 6 women paint a house in 16 days. How long will it take 8 men and 12 women?
Click here to see answer by josgarithmetic(39799)

Question 887489: How many machines will be needed to complete a task in 15 days, given that 6 machines can complete the same task in 10 days?
Click here to see answer by stanbon(75887)

Question 887493: 2 men take 16 hrs to paint a house.
4 women take 16 hrs. to paint a house.
If a group of 6 women, at the above women rate,
and a group of 4 men, at the above men rate,
work together to paint one house, how long will it take?
Click here to see answer by josgarithmetic(39799)

Question 887570: One tap fills a tub in 10min
Another one does it in 15min
How long will it take if both fill at the same time
Click here to see answer by stanbon(75887)

Question 887663: 15 men working 6 hours a day can do a piece of work in 20 days. how many men working 8 hours a day can do it in 25 days.
Click here to see answer by sadike007(4)

Question 887671: It takes 25 people to build a house in 36 days. How long would it take 15 people to build the same house if they worked at the same rate?
Click here to see answer by sadike007(4)

Question 887664: The price of sugar decreased by 20% and this decrease in price enables a man to purchase 1kg more of sugar for Rs. 90/-. find the present as well as the previous price of sugar per kg.
Click here to see answer by josgarithmetic(39799)

Question 887692: maria can paint a kitchen in 5 hours and charles can paint the same kitchen in 4 hours. how ing would it take for both working together to paint the kitchen.
Click here to see answer by Edwin McCravy(20081)

Question 887869: If it takes 2 days for 5 workers to finish painting a wall at a rate of 6 hours per day, then how long will it take 7 workers to finish painting a wall at a rate of 7 hours per day?
Click here to see answer by Edwin McCravy(20081)

Question 887794: An inlet pipe can fill a swimming pool in 12 hours whereas a drain pipe can empty the pool in 36 hours. How long will it take to fill the empty pool halfway if one inlet and two drain pipes are operating at the same time?
Click here to see answer by ankor@dixie-net.com(22740)

Question 888142: A printer charged 10 pesos for printing the first hundred programs for a school convocation, and 6.60 pesos a hundred for each additional hundred. If the bill amounted 36.40 pesos, how many programs were printed?
Click here to see answer by josmiceli(19441)

Question 888094: Karma and Tshering are washing a pile of clothes. When they wash separately, Karma can finish it in 4 hours and Tshering in 6 hours. They work together for 2 hours and then Karma left to attend some other chores. How long will it take for Tshering to finish washing the clothes?
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, 8911..8955