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 256405: 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 drk(1908)

Question 256460: if one person takes 30 min to paint a room and another person takes 45 min how long would it take if they did it together.
what formula would I use to solve this?
Click here to see answer by unlockmath(1688)

Question 256404: 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 richwmiller(17219)

Question 256684: The sum of the recipricals of 2 consectutive even integars is 11/60. Find the integars.
Click here to see answer by stanbon(75887)

Question 256684: The sum of the recipricals of 2 consectutive even integars is 11/60. Find the integars.
Click here to see answer by vleith(2983)

Question 256685: The $75 cost for a party was to be shared equally by all those attending. Since 5 more people attended than what was expected, the price per person dropped by .50 cents. How many people attended the party?
Click here to see answer by richwmiller(17219)

Question 256683: Terry spent 3/8 of her monthly salary on rent, 1/3 of her monthly salary on food. If she has $294 left, what is her monthly salary?
Click here to see answer by richwmiller(17219)

Question 256754: Please help, been stuck on this all day, dont just need an answer, need help solving the problem so I can finish all the rest,
Joe flew his small airplane 900 km in 5 hours with the wind. He flew 700 km against the wind in 7 hours. Find the rate at which he flew in still air and the rate of the wind. I have to use this table to solve it
5(r+w)=900
7(r-w)=700
Click here to see answer by edjones(8007)

Question 256825: The formula relating the volume, V, of a baloon and its radius,r, as it is being inflated is: V(r)=4/3 pi r^3,where r is the radius in cm.
a) Determine the average rate of change in volume between r=2 and r=10cm.
b) Determine the average rate of change in volume between r=8 and r=10cm.
c) Determine the average rate of change in volume between r=9.99 and r=10
d) Calculate the value of 4 pi r ^2 for r=10. What do you notice?
Please help me :) Thanks.
Click here to see answer by richwmiller(17219)

Question 256884: "One pipe can fill a pool 1.25 times faster than a second pipe. When both pipes are opened, they fill the pool in five hours. How long would it take to fill the pool if only the slower pipe is used?" Here is how I'm looking at it. The fast pipe is an unknown (f), the slow pipe is 1.25 times slower than the fast pipe (1.25f) and working together, they equal (5). Then I break them into units: 1/f + 1/1.25f = 1/5. How do I correctly determine the LCD?
Click here to see answer by solver91311(24713)

Question 257106: you leave your house for school at 7:46 AM traveling at 30mph. Your mom realizes you forgot your lunch and leaves at 7:51 AM traveling at 78 mph. At what time will your mom catch up to you? The answer is 7:54am but i dont know how to figure it our
Click here to see answer by rajagopalan(174)

Question 257214: darren and doug must paint the 792 foot fence that encircles thier family home. because darren is older, he has agreed to paint 20% more than darren. how much of the fence will each boy Paint?
Click here to see answer by nerdybill(7384)

Question 257244: Mowing a lawn. Adam can mow a lawn in 40 minutes,
while his cousin Victor can mow the same lawn in one
hour. How long would it take to mow the lawn if Albert
and Vinnie work together?
Click here to see answer by richwmiller(17219)

Question 257247: a& b do a job in 4-days working together. A alone would takes twice as long to do the job as aB alone takes. How long would each alone require to do a job?
Click here to see answer by ptaylor(2198)

Question 257730: Can you walk me through this probably simple word problem: If I had the total gallons then I could determine this easier, so I am stumped:
" The swimming pool can be filled in 12 hours with a pipe or 30 hours using a hose. How long will it take if both are used?"
I want to say 21 hours but that would be too easy??
Click here to see answer by ankor@dixie-net.com(22740)

Question 257965: A, B, and C can finish a job in 6 days. If B and C work together, the job will take 9 days; if A and C work together, the job will take 8 days. In how many days can each man working alone do the job?
Click here to see answer by richwmiller(17219)

Question 258237: a bird took 42 secondes longer to fly from one pond to another at a speed of 29 feeet per second than it did to reurn at a peed of 32 feet per second
how far apart are the two ponds

Click here to see answer by ankor@dixie-net.com(22740)

Question 258295: A valve in a full 6000 gallon water tank is slowly opening. Water flows out of the tank through the valve. The flow rate in gallons per hour is given by the function f(t)=150t^2 where t is in minutes.
a) How much water flows out of the tank in the first 3 minutes?
b)How many minutes does it take for the tank to empty completely?

I am completely lost any help would be great!!!!
Click here to see answer by Alan3354(69443)

Question 258585: Christopher can paint the interior of his house in 21 hours. If he hires Cynthia to help him they can do the same job together in 15 hours. If he lets Cynthia work alone, how long will it take her to paint the interior of his house?
Enter the exact answer.

Cynthia can paint the house alone in hours.

Click here to see answer by ankor@dixie-net.com(22740)

Question 259508: the faucet of a sink can fill the sink with water in 2 minutes. the drain can empty the sink in 3 minutes. If the faucet is turned on and the drain is left opened, does the sink ever fill up with water?
Click here to see answer by edjones(8007)

Question 259623: if tim could paint a house in 3 hours and jon could paint a house in 5 hours how long would it take for the both of them to paint one house together?
Click here to see answer by richwmiller(17219)

Question 259777: 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? how to solve, explain please

Click here to see answer by Alan3354(69443)

Question 260118: Show five-step process to solve the problem.DG's Plumbing and Heating charges $50 plus $65 per hour for emergency service. Bill remebers being billed just over $450 for an emergency call. How long to the nearest hour was the plumber at Bill's house?
Click here to see answer by stanbon(75887)

Question 260221: A crew of 30 people can build a certain road in 60 days. After the tenth day the plans are changed; the company wants the road built in 30, not 60 days. How many more people must be hired?
Click here to see answer by richwmiller(17219)

Question 260207: Winston bakes 4 pies per hour, and Clyde bakes 6 pies per hour. If Winston bakes alone for one hour, and then Clyde joins him, how many minutes will it take them to bake 32 pies?
Click here to see answer by nerdybill(7384)

Question 260336: It takes me 3 hours to mow my lawn. It takes John 2 hours to mow my lawn. If we mow my lawn together how long will it take us? My first instinct was to add 3 and 2 to get 5 and then divide that by two to find the average and divide that number by two again since they are working on it together. I'm not sure if that is the right thing to do though.
Click here to see answer by stanbon(75887)

Question 260449: A pool is filled at the rate of 600 cubic feet per hour. How long does it take to fill the pool?
Click here to see answer by stanbon(75887)

Question 260488: Stan and Hilda can mow the lawn in 45 min if they work together. If Hilda works twice as fast as Stan, how long would it take Stan to mow the lawn alone?
Click here to see answer by richwmiller(17219)

Question 260492: It takes George 1 hour longer to mow the lawn than it takes Henry. Working together, using two mowers, they can mow the lawn in 1 hour and 12 minutes. How long would it take Henry to mow the lawn by himself?
[hint: Let x be the time taken by George. How much of the lawn does George mow in 1 hour? How much does Henry do in 1 hour? How much do they mow together in 1 hour?]
Click here to see answer by ankor@dixie-net.com(22740)

Question 260567: A packing crate measure 3 feet by 14 feet by 9 feet. What is the area of its smallest size?
Click here to see answer by ilovemath(8)

Question 260617: Josh can deliver his newspapers in 30 minutes. If Amber helps him, it takes 12 minutes working together. How long would it take amber working by herself? I think that the minutes have to be put into a fraction of the number over 60 but i am not sure..
Click here to see answer by nerdybill(7384)

Question 260893: if a homeowner can paint a house in 14 days and a professional painter can paint it in 10 days, how long will it take if they work together?
Click here to see answer by richwmiller(17219)

Question 261003: An empty bucket is put under two faucets. if one faucet is turned on
alone, the bucket fills in 6 minutes. If the other faucet is turned on
alone, the bucket fills in 4 minutes. If both are turned on how many
seconds will it take to fill the bucket?

Click here to see answer by richwmiller(17219)

Question 261617: Jack usually mows his lawn in 5 hours. Marilyn can mow the same yard in 4 hours. How much time would it take for them to mow the lawn together?
They could mow the lawn in ? hours if they worker together.
(Simplify your answer. Type an integer, proper fraction, or mixed number.)
Thank you in advance to anyone who can help me with this problem!!!!
Click here to see answer by richwmiller(17219)

Question 262073: One pipe can fill a tank in 6 hours less than another. Together they can fill the tank in 4 hours. How long would it take each alone to fill the tank?
Click here to see answer by palanisamy(496)

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