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 496727: If Tom, George and Mario work together, they can paint a 600 ft2 room in 4 hours. When only George and Mario work together, it takes 8 hours to paint the room. Tom and George, working together, take 6 hours to paint the room. How long would it take Tom to paint the room alone?
a. 8 hours c. 3 hours
b. 23 hours d. 4 hours

Click here to see answer by ankor@dixie-net.com(15624)

Question 497136:

Jack and Jill went up the hill at a rate of 8 units per minute. They came tumbling down at a rate of 8 units per second. What was their average rate , in units oer minute, for the round trip?

Click here to see answer by ankor@dixie-net.com(15624)

Question 497450: The price of a shirt is reduced by 7% to rupees 465. What is its original price? (Ans. Rupees 500)
Click here to see answer by Theo(3458)

Question 497605: 1) working together , it takes 2 roofers 4 hours to put a new roof on. If the first roofer can do the job by himself in 6 hours. how many hours will it take to the second roofer to do the job by himself?
2) With both cold water and hot ater faucets open, it takes 9 mins t ofill a bathtub. How long will it take to fill the tub with just the hot water faucet?
3) A bus leaves Valdosta, Georgia at 10 am travelling norht on 1-75 at an average rate of 63 miles per hour. At the same time a car leaves Valdosta, travelling south on i-75 at an average rate of 72 miles per hour. At what time will they be at 675 miles apart?
4) Rapid City is 360 miles from Sioux Falls. At 6 am freight train leaves Rapid City for Sioux Falls and at the same time a passenger train leaves Sioux Falls for Rapid City. The 2 trains meet at 9am if the freight train travels 3/5 of the speed of the passenget train how fast does the passenger train travels?
5) Jack Leaves his home in Atlanta, travellilng north on i-75 at an average rate of 45 miles per hour. 2 hours later his wife Frances leaves home and takes the same route travelling at an average rate of 60 miles pr hour HOw long will it take Frances to catch Jack?
Click here to see answer by solver91311(16868)

Question 497629: With water from one hose, a swimming pool can be filled in 9 hours. A second, larger hose used alone can fill the pool in 2 hours. How long would it take to fill the pool if both hoses were used simultaneously?
Click here to see answer by josmiceli(9649)

Question 497611: Pump A can fill up an empty pool in 6 hours. Pump B can fill up the same empty pool in 12 hours. If the pool is already 1/3 full, how long will it take for both of the pumps working together to fill up the remainder of the pool?
Click here to see answer by ankor@dixie-net.com(15624)

Question 498554: Pipe A can fill a pool in 5 hours. Pipe B can fill it in 2 hours less than it takes Pipe C, a drain pipe, to empty the pool. With all 3 pipes open it takes 3 hours to fill the pool. How long would it take Pipe C to empty it?
Click here to see answer by josmiceli(9649)

Question 498679: I have this problem from school and i need to get this done. I have tried toyed around with this problem for 1 hour and don't seem to get anywhere. I have tried to replace variables and tried the quadratic formula but nothing seems to work. If you could help that would be amazing.

Pipe A can fill a tank in 6 hours, and pipe B can fill it in 2 hours less time than it take drain pipe C to empty the tank. With all three pipes open it takes 3 hours 20 minutes to fill the tank. How long would it take pipe C to empty it???????

Click here to see answer by Edwin McCravy(8880)

Question 498793: 40% of the population of a town are men and 39% are women. If the number of children is 1260. Find the number of men. (Ans.2400)
Click here to see answer by josmiceli(9649)

Question 498803: The erection of a tower takes 24 men to complete in 15 days. How many days will it take 9 men to erect if they work at the same rate?
Click here to see answer by ptaylor(2048)

Question 498927: I'm helping to teach some Soldiers in math when I came across a question that stumped me. I'm hoping you can help out.
If 2 boys can build 6 sandcastles in 3 and 1/3 hours, how long will it take for 3 boys to build 11 sandcastles?
Thanks in advance!
Click here to see answer by Alan3354(30959)

Question 499035: For the following problem, define a variable, write and solve an equation, and answer the question: Pat takes 10 minutes longer than Mike to wash the car. Working together, they can wash the car in 12 minutes. How long will it take mike to do it alone?
Click here to see answer by josmiceli(9649)

Question 499218: With water from one hose, a swimming pool can be filled in 7 hours. A second, larger hose used alone can fill the pool in 4 hours. How long would it take to fill the pool if both hoses were used simultaneously?
Click here to see answer by Earlsdon(6287)

Question 499219: A water tank can be emptied by using one pump for 4 hours. A second, smaller pump can empty the tank in 11 hours. If the larger pump is started at 1:00 P.M., at what time should the smaller pump be started so that the tank will be emptied at 4:00 P.M.?
Click here to see answer by nerdybill(6948)

Question 499170: two painters can paint a room in one work of six hours.
1.1 How long will the work shift be if four painters complete the work at the same rate and 1.2 if the room needs to be painted in a work shift of 2,4 hours, how many painters are then needed if they work at same rate as painters in 1.1
Click here to see answer by ankor@dixie-net.com(15624)

Question 499335: Nine large hoses can ﬁll a swimming pool in four hours and six small hoses can
ﬁll the same swimming pool in eight hours.
How long will it take four large hoses and eight small hoses working together to
ﬁll the swimming pool?
Click here to see answer by oberobic(2304)

Question 499228: Mike, Joe and Bill are painting a fence. The painting can be finished if Mike and Joe work together for 4 hours and Bill works alone for 2 hours, or if Mike and Joe work together for 2 hours and Bill works alone for 5 hours, or if Mike works alone for 6 hours, Joe works alone for 2 hours and Bill works alone for 1 hour. How much time does it take each man working alone to complete the painting.
Click here to see answer by ankor@dixie-net.com(15624)

Question 499418: Constructing a Border around a Pool:
A pool in the shape of a circle measures 10 feet across. One cubic yard of concrete is to be used to create a circular border of uniform width around the pool. If the border is to have a depth of 3 inches, how wide will the border be?
Click here to see answer by ankor@dixie-net.com(15624)

Question 499575: 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 ½ hours. How quickly can all three fill the pool together?
Click here to see answer by nerdybill(6948)

Question 499660: The horsepower (hp) that a shaft can safely transmit varies jointly with its speed (in revolutions per minute rpm) and the cube of its diameter. If the shaft of a certain material 2 inches in diameter can transmit 36 hp at 75 rpm, what diameter must the shaft have in order to transmit 14 hp at 30 rpm?
Click here to see answer by Alan3354(30959)

Question 499855: If 12 workers can dig a tunnel in 100 days, how long will it take 20 workers to dig the tunnel?
we have no clue what formula to use or where to start any help will help even if it is just the formula thanks.
Click here to see answer by rfer(12644)

Question 500835: sally can paint a room in 8 hours while it takes Steve 9 hours to paint the same room. How long would it take the to paint th eroom if they worked together?
Click here to see answer by josmiceli(9649)

Question 500899: Find min value of fn:
|-5-x| + |2-x|+|6-x|+10-x|; where x is an intege
Click here to see answer by oberobic(2304)

Question 501029: Mr. jenkins can dig a ditch in one hour less time than his son. working together they can do the job in 2/3 hrs. how long does it take mr. jenkins to do the job alone?
Click here to see answer by ankor@dixie-net.com(15624)

Question 501649: a woman can do a particular job in 10 hour and her daughter can do it in 12 hour. After a woman and her daughter have been working for 1 hour, they are joined by the older daughter. The three completed the job in 3 hour. How long will it take the older daughter to do the job herself?
Click here to see answer by mananth(12270)

Question 501622: if 24 adult can finish a work in 16 days and 16 children can finish the same work in 48 days then how much time it would take one adult and 1 child to finish the work?
Click here to see answer by ankor@dixie-net.com(15624)

Question 502402: It takes van twice as long as it takes Jun to do a certain piece of work. Working together they can do the work in 6 days. How long would it take Jun to do it alone?

Click here to see answer by nerdybill(6948)

Question 502421: A can finish a certain job in 12 days . A&B can finish same job in 8 days.how many day will take B to complete that job alone?

Click here to see answer by nerdybill(6948)

Question 503371: The ratio of monthly income to the savings of a family is 11:2 if the savings be Rs. 2500 find the income and expenditure. (Ans. Income Rs. 13750 and Expenditure Rs. 11250)
Click here to see answer by mananth(12270)

Question 503414: 3 labours earn 180/- in 12days. how much will 6 labours earn in 9 days solve this problem
Click here to see answer by ptaylor(2048)

Question 503580: A 90,000 gallon water tank can be filled in two hours by opening valve A alone and in two and a half hours by opening valve B alone. It can be emptied in three hours by opening valve C alone. How long will it take to fill the tank under each of the following conditions? If an answer is not whole hours, include hours, minutes and seconds in your answer.
a. Valve B is kept closed. Valves A and C are opened
b. Valve C is kept closed. Valves A and B are opened
c. Valve A is kept closed. Valves B and C are opened
d. valve C is kept closed. Valve A is opened. Twenty minutes later valve B is also opened
e. Valves A and C are opened. Twenty minutes later valve B is also opened
f. Valve A is opened. Twenty minutes later valves B and C are also opened
g. Valve C is kept closed. Valve A is opened. Valve B is also opened twenty minutes later and is then closed after another ten minutes
h. Valve C is kept closed. Valve A is opened. Twenty minutes later valve B is also opened. Ten minutes after that, Valve A is closed

Click here to see answer by xdragonfight(116)

Question 503630: Todd contracted to paint a house for $480. It took him 4 hours longer than he anticipated, so he earned $0.50 less per hour than he originally calculated. How long had he anticipated it would take him to paint the house?
Click here to see answer by ankor@dixie-net.com(15624)

Question 503778: A highway took 48 men 30 weeks to construct. 75 days into the construction phase, 8 men resigned, Assuming that all men worked 7 days a week find the total number of days the project was delayed
Click here to see answer by ankor@dixie-net.com(15624)

Question 504023: it takes 90 minutes to remove an amount of water from the basement when two pumps of different sizes are operating. It takes 2 hours to remove the same amount of water when only the larger pump is running. How long would it take to remove the same amount of water if only the smaller pump were running?
Click here to see answer by oberobic(2304)

Question 504465: if 20 men can do a piece of work in 8 days, then how many men can finish the same work in 10 days?
Click here to see answer by ankor@dixie-net.com(15624)

Question 504467: A can do a work in 8 days and B in 12 days. How long will A and B take to do the same work together?
Click here to see answer by ankor@dixie-net.com(15624)

Question 505011: If 4 men can do the job in 9 days,how many men were needed to do the job in 12 days?
Click here to see answer by Edwin McCravy(8880)

Question 505051: Suppose the one worker can shovel snow from a sidewalk in 50 minutes and another worker can shovel it in 30 minutes. How long will it take if they work together?
Click here to see answer by oberobic(2304)

Question 505173: If 10 men working 8 hours a day take 15 days to complete a job.How long will it take 20 men working 6 hours a day to complete the job?
B) If the two groups are combined how long will it take the new team to complete the same job if they work 10 hours a day?
Click here to see answer by lwsshak3(6463)

Question 505180: If it takes you 30 seconds to reach the top of an escalator by just standing on it,and if it takes you 20 seconds to walk up the stairs.How much time it will take you to reach the top of the escalator by walking on it with the same rate you walked up the stairs.
Click here to see answer by ptaylor(2048)

Question 505214: Together Sophie and Clarissa can paint a house in 6 days. It takes Clarissa 5 days less than Sophie to paint the house by herself. How many days does it take Sophie to paint the house by herself?
Click here to see answer by nerdybill(6948)

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