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 177627: Can you help me with this problem: It takes Kenny 3 hours to pedal a tamdem bicycle from one end of town to the other. If Dolly pedals with him, they can make the trip in 2 hours. How long would it take Dolly to travel from one end to the other alone.
Click here to see answer by ptaylor(2198)

Question 178350: An aquarium tank can hold 7700 liters of water. There are two pipes that can be used to fill the tank. The first pipe alone can fill the tank in 44minutes. The second pipe can fill the tank in 77minutes by itself. When both pipes are working together, how long does it take them to fill the tank?
Click here to see answer by ptaylor(2198)

Question 178509: On a 255 mile trip gary traveled at an average of 70 mph, got a speeding ticket, and
then traveled at 60 mph for the remainder of the trip. If the entire trip took 4.5 hours and the speeding ticket stop took 30 minutes, how long did gary speed before he got stopped?
Click here to see answer by ankor@dixie-net.com(22740)

Question 178527: Jack, Kay, and Lynn deliver flyers. If alone Jack takes 4 hours, and Lynn takes 1 hour longer than Kay. Together they can deliver in 40% of the time it takes Kay working alone. *How long does it take Kay to deliver all the flyers alone?*
Click here to see answer by Mathtut(3670)

Question 180078: You and your brother are house painters. It's Tuesday and you have 4 cans of white paint at the beginning of the day. Your brother says that last week the two of you used half of the white paint. You did not work on Sunday and you used 5 cans on Monday. How many cans did you have at the beginning of last week?

Click here to see answer by Mathtut(3670)

Question 180158: Jim is working 3 times faster than kelly. If jim is finishing work in 2 hour than how much time it will take if both work togather?
Click here to see answer by stanbon(75887)

Question 180686: Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 � hours. How quickly can all three fill the pool together?
Click here to see answer by josmiceli(19441)

Question 180803: 1) Find the domain of the following:
a) f(t)= 4.5e^t

Click here to see answer by user_dude2008(1862)

Question 180803: 1) Find the domain of the following:
a) f(t)= 4.5e^t

Click here to see answer by stanbon(75887)

Question 180966: Mary and Chris, together can clean their house in 2 hours. Mary alone can clean the house in 3 hours and 30 minutes. How long does it take Chris to clean the house working alone?
Click here to see answer by ptaylor(2198)

Question 181038: I would appreciate any help on this problem, I've worked the word problem out from what examples were given in class but the answer I come out with doesn't seem correct when I check it. Please help with this problem:
One pipe can fill a pool in 8 HOURS. The drain can empty it in 14 HOURS. With the pipe on and the drain open, how long will it take the pool to be filled?
Click here to see answer by lheadle(1)

Question 182103: A water tank has an inlet pipe and a drain
pipe. A full tank can be emptied in 30 minutes if the drain
is opened and an empty tank can be filled in 45 minutes
with the inlet pipe opened. If both pipes are accidentally
opened when the tank is full, then how long will it take to
empty the tank?
Click here to see answer by stanbon(75887)

Question 182471: It takes nine days for 8 worker to pave a stretch of road. If each worker works at the same rate as each of the others, how long will it take twelve workers to pave the same stretch of road?
Click here to see answer by Mathtut(3670)

Question 182645: jim ran 12 miles in 45 minutes less than it took jon to walk 5 miles. if jim's speed was 5 miles faster than jon's speed, what was jim's speed.
i need help ASAP, please and thank you!!
Click here to see answer by stanbon(75887)

Question 107495: If Sarah Clark can do a job in 5 hours and Dick Belli and Sarah working together can do the same job in 2 hours, find how long it takes Dick to do the job alone.
Click here to see answer by kid185(2)

Question 182671: One painter takes 6 hours longer to paint a room than does a second painter. Working together, they can paint the room in 4 hours. How long wouold it take each painter working alone to paint the room?
Click here to see answer by stanbon(75887)

Question 183148: together richard and and his brother frank can paint a garage in 2 days. if richard works twice as fats as frank, how long would it take each one to paint the garage alone

Click here to see answer by ptaylor(2198)

Question 183281: Two pipes can be used to fill a pool. Working together, the two pipes can fill the pool in 2 hours. The larger pipe can fill the pool in 4 hours less time than the smaller pipe can alone. Find the time to the nearest tenth of an hour it takes for the smaller pipe working alone to fill the pool.
Click here to see answer by stanbon(75887)

Question 183362: For the function f(x) = x^2, find the average rate of change of the function over the interval [-4,-1]. (Hint: x1 = -4, x2 = -1)
Click here to see answer by user_dude2008(1862)

Question 183360: Rate of Change
Driving at a speed of 75 mph, a mustangs fuel efficiency is 29 miles per gallon. If the driver slows to a speed of 60 mph, he will have a fuel efficiency of 34 miles per gallon. What is the average rate of change of the fuel efficiency as the speed drops from 75 mph to 60 mph?
Click here to see answer by stanbon(75887)

Question 183757: 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(2198)

Question 183926: One crew can seal a parking lot in 8 hours and another in 10 hours. How long will it take to seal the parking lot if the two crews work together?
Click here to see answer by ptaylor(2198)

Question 184278: Shirley and Julia, working together, can finish a job in 1 hour and 20 minutes. After Shirley has worked for two hours, Julia joins her and they finish the job in 40 more minutes. How long would it have taken each woman, seperately, to do the job?
Click here to see answer by stanbon(75887)

Question 184823: A welder requires 25 hrs to do a job on his own. After a welder and apprentice work on job together for 10 hours, the welder goes to another job. The apprentice finishes the job in 17 more hours. How long would it take the apprentice to do the whole job alone
Click here to see answer by ankor@dixie-net.com(22740)

Question 185031: A park has two sprinklers that are used to fill a foutain. One sprinkler can fill the foutain in 3 hours, where as the other sprinkler can fill up the foutain in 6 hours. How long will it take to fill the foutain with both sprinklers operating?
Click here to see answer by solver91311(24713)

Question 186015: If Marie works 14 hours and tom works 17 hours doing the same job. How long would it itake them doing the same job?
Hint Rate X Time + amount of work
Click here to see answer by ptaylor(2198)

Question 186549: If sally can paint a house in 4 hours and John can paint the same house in 6 hours, how long will it take for both of them to paint the house?
Solution:
Sally's speed of painting the house is 1/4 per hour. John's speed is 1/6 per hour.
Let T = time.
1/4 T +1/6 T =1
(1/4+1/6)T=1
(3/12+_2/12) T=1
5/12 T=1
T=12/5=2 2/5
T=2hours 12 minutes.
Answer: Sally and John can paint the house in 2 hours and 12 minutes.
Click here to see answer by irkagorska(1)

Question 187008: raphael can load a large shipping truck in 15 hours. working together, raphael and jana can load the same truck in 6 hours. how long would it take to load the truck by herself?

Click here to see answer by user_dude2008(1862)

Question 187088: A contractor finds it takes Sam 11hours to construct a wall of certain size. It takes Jime 6hours to do it. How long would it take if the work together?
Click here to see answer by Alan3354(69443)

Question 187121: It takes amy twice as longt to deliver papers ai it does nancy. How long would it take each girl to deliver the papers by herself if they can deliver the papers together in 40 minutes.
Click here to see answer by solver91311(24713)

Question 187120: Connie can type 600 words in 5 minutes less than it takes katie to type 600 words. If connie types at a rate of 20 words per minute faster than katie types, find the typing rate of each woman.
Click here to see answer by stanbon(75887)

Question 187123: Rod agreed to mow a vacant lot for $12. It took him an an hour longer than he had anticipated, so he earned $1 per hour less than he had originally claculated. How long had he anticipated that it would take him to mow the lot?
Click here to see answer by stanbon(75887)

Question 187064: The time required to fill a pool with a water hose is 30 hours. Using a pump the pool can be filled in 10 hours. How long will it take to fill the pool using a pump and 2 hoses?
In the pool problem above how long would it take to fill the pool if the drain, which could drain the pool in 15 hours, is left open?
I have the first part figured out but I am struggling with the second part. If you could just set up the table for me that would be great! Thanks!
Click here to see answer by ankor@dixie-net.com(22740)

Question 188003: CAN ANYONE HELP WITH THIS PROBLEM ... I AM SO STUCK!! THANKS
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.

Click here to see answer by solver91311(24713)

Question 188348: Suppose that Arlene can mow the entire lawn in 40 minutes less time with the power mower than she can with the push mower. One day the power mower broke down after she had been mowing for 30 minutes. She finished the lawn with the push mower in 20 minutes. How long does it take Arlene to mow the entire lawn with the power mower?
Click here to see answer by ankor@dixie-net.com(22740)

Question 188347: It takes Terry 2 hours longer to do a certain job than it takes Tom. They worked together for 3 hours; then Tom left and Terry finished the job in 1 hour. How long would it take each of them to do the job alone.
thanks,
I will be able to solve it once I know how to set it up.
Click here to see answer by ankor@dixie-net.com(22740)

Question 188377: It takes Ted 20 minutes to paint a wall. Burt can paint the same wall in 30 minutes. How long will it take for the two of them to do the job together?
Click here to see answer by jojo14344(1513)

Question 188460: Flying with the wind, a pilot flew 800 km between two cities in 4 hours. The return trip against the wind required 5 hours. Find:
a) The rate of the plane in calm air and,
b) The rate of the wind
Click here to see answer by checkley77(12844)

Question 188493: A student did a word processing job for $24. It took him 1 hour longer than he expected, and therefore he earned $4 per hour less than he anticipated. How long did he expect that it would take to do the job?
thanks
Click here to see answer by Mathtut(3670)

Question 188565: A business report for a company can be printed in 55 minutes by one machine. A second machine can print the report in 66 minutes. How long will it take to print the report with both machines operating?
Click here to see answer by jojo14344(1513)

Question 188567: A new high-speed copier works three times as fast as a regular copier. When both copiers are used, they can copy a group of documents in 12 minutes. How long would each copier require to do the copying alone?
Click here to see answer by jojo14344(1513)

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