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 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(6294)

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(7384)

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(22740)

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(22740)

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(22740)

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 � hours. How quickly can all three fill the pool together?
Click here to see answer by nerdybill(7384)

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(69443)

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(16322)

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(19441)

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(22740)

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(16946)

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(22740)

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(7384)

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(7384)

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(16946)

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(2198)

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(22740)

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(22740)

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(22740)

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(22740)

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(20054)

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(11628)

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(2198)

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(7384)

Question 505239: clarissa can clean a house in 10 days. shawna can clean a house in 15 days. how many days do they take to clean the house together?
Click here to see answer by josmiceli(19441)

Question 505268: A bath tub can be filled by the hot and cold water pipes in 4 minutes, and when full it can be emptied by the waste pipe in 5 minutes. If it is half full, and all three pipes are set running, when will the tub be filled?
Click here to see answer by nerdybill(7384)

Question 505286: 12 men can build a 5 houses in 75 days.How long will 20 men take to build 7 such houses.
Click here to see answer by htmentor(1343)

Question 505410: I really need help with this and need this word problem translated into an algebraic equation with only one variable. Then it needs to be simplified.
Question:
The area of a rectangle is 72 square inches. If the length is 40 inches greater than four times the width, what are the dimensions of the rectangle?
Click here to see answer by ankor@dixie-net.com(22740)

Question 506379: Harold and Jim together can do a job in six days. Harold can do the job working alone in eight days. How long does it take Jim to do the job working alone?

Click here to see answer by Maths68(1474)

Question 506533: One man can paint a garage in 28 hours. After working for 12 hours, he was given a new job, and a second man finished painting in 18 hours. How long would the second man take take to paint to whole garage?
Click here to see answer by nerdybill(7384)

Question 507078: Joe and Moe can mow the lawn in 26 minutes if they work together. If Moe works twice as fast as Joe, how long does it take Joe to mow the lawn alone?

Click here to see answer by nerdybill(7384)

Question 507347: One pipe fills a storage tank in 30 hours. A second pipe fills the same tank in 45 hours. When a third pipe is added and all three pipes are used to fill the tank it only 9 hours. Find how long it takes the third pipe to do the job.
Click here to see answer by lwsshak3(11628)

Question 507764: It will take 24 men working 9 hours a day each to build a house in 45 days. Given that all men work at the same rate,
a. How nay days will 18 men take to build the same house if they work 8 hours a day ?
b. how many hours per day must 20 men work if the house is to be completed in 48 days ?
Click here to see answer by lwsshak3(11628)

Question 507802: A and B working together can do a job in 6 2/3 hours. A became ill after 3 hours of working with B. B finished the job, continuing to work alone, in 8 1/4 more hours. How long would it take each working alone to do the job?
Click here to see answer by josmiceli(19441)

Question 508350: Mary, sue and bill work at a motel. If each worked alone, it would take mary 10 hours, sue 8 hours and bill 12 hours. One day Mary came to work early and she had cleaned for 2 hours when Sue and bill arrived all three finished the job. How long did they take to finish?
Click here to see answer by lwsshak3(11628)

Question 508414: A roofer and his assistant working together can finish a roofing job in 4 hours. The roofer working alone could finish the job in 6 hours less than the assistant working alone. How long would it take the roofer working alone?

Click here to see answer by nerdybill(7384)

Question 508410: a tank is filled with 2 pipes. the first pipe can fill the tank in 10 hours. But after it has been opened for3 1/3 hours, the second pipe is opened and the tank is filled up in 4 hours more. how long would it take the second pipe to fill the tank? the two pipes have different diameters.
Click here to see answer by ankor@dixie-net.com(22740)

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