Questions on Word Problems: Rate of work, PAINTING, Pool Filling answered by real tutors!

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Question 251699: a pool can be filled by one particular pipe in 10 hours, whereas a different pipe requires 6 hours to fill the pool. how long would it take to fill the pool with both pipes?
Click here to see answer by Earlsdon(6294)

Question 251759: For exercise, Joseph likes to walk and Vincent likes to ride his bike. Vincent rides his bike 12 km/h faster than Joseph walks. Joseph walks 20 km in the same amount of time that Vincent rides 44km. What is the rate that each of them travels?
Click here to see answer by richwmiller(17219)

Question 251758: Chao, who is an experienced architect, can draw a certain set of plans in 6 hours. It takes Carl, who is a new architect, 10 hours to draw the same set of plans. How long would it take them working together to draw the set of plans?
Click here to see answer by checkley77(12844)

Question 251988: A job was wrongly estimated to be completed in 10 days by x machines. By deploying 3 extra machines, the job was in completed in 12 days. If only one extra machine was used, how many more days than that estimated would it have taken to complete the job?
Click here to see answer by richwmiller(17219)

Question 252169: It takes a man one hour to dig a hole 2 meters long, 2 meters wide, and 2 meters deep. How many hours would it take the same man to dig a hole 4 meters long, 4 meters wide, and 4 meters deep, assuming that he digs at the same rate of speed?
A. 2 B. 4 C. 6 D. 8 E. 16
Click here to see answer by ptaylor(2198)

Question 252292: Working alone, pump A can fill a pool in 8 hours, while pump B can fill it in 10 hours. The two pumps are turned on at the same time and run until the pool is 75% full. Pump A then stops working, but pump B continues until the pool is filled. How long does it take to fill the empty pool?
a 10/3 hours b 16/3 hours c 23/6 hours d 29/6 hours e 35/6 hours
Click here to see answer by nerdybill(7384)

Question 252467: First I just hope I'm in the right section, I have been trying to figure out how to solve this problem but I just can't come up with the right formula.

An office has an old copying machine and a new one. Working together it takes both machines 6 hours to make all the copies of the annual financial report. Working alone the old machine takes 15 hours longer than the new machine. How long would it take the new machine to make all the copies working alone?
Click here to see answer by drk(1908)

Question 252632: A pump can empty a tank 4 times as fast as the other. If both pumps are working, they can complete the job in 3 hours. Find the rate of each pump.
Click here to see answer by ankor@dixie-net.com(22740)

Question 252653: 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 edjones(8007)

Question 252652: How many kilos of santol at 12 pesos per kilo, and how many kilos of santol at 8 pesos per kilo be mixed to make a mixture of 60 kilos to be sold for 10 pesos per kilo?
Click here to see answer by Edwin McCravy(20054)

Question 252651: Peter left the office with his motorbike at a rate of 40kph after one hour, Alex also left the office with his motor bike at a rate of 50kph. In how many hours will Alex overtake Peter?
Click here to see answer by Edwin McCravy(20054)

Question 252648: If Mario can do a piece of work in 3 days and Joey in 2 days, in how many days can they do the same work together?
Click here to see answer by Alan3354(69443)

Question 252650: Working together Deng and Ddolly can sew a set of uniform in 2 hours. If Dolly can do it alone in 5 hours, howw long will it take Deng to do it by herslf?
Click here to see answer by ptaylor(2198)

Question 252693: If 15 men can do a piece of work in 90 days, in how many days can 30 men do the same work?
Click here to see answer by stanbon(75887)

Question 252693: If 15 men can do a piece of work in 90 days, in how many days can 30 men do the same work?
Click here to see answer by richwmiller(17219)

Question 252644: Fame is 10 years older than EJ. Five years ago, EJ was two years more than one-fourth as old as Fame. What are their present ages?
Click here to see answer by drk(1908)

Question 250723: A tank contains 18 gallons of water and is being filled at a rate of 5 gallons per minute. A second tank contains 7 gallons of water and is being filled at a rate of 6 gallons per minute. When will the two tanks contain the same amount of water?
Click here to see answer by ptaylor(2198)

Question 252769: the sum of the two numbers is 39. When the smaller number is doubled and the larger is increased by 3, the resulting numbers are equal. What are the numbers?
Click here to see answer by richwmiller(17219)

Question 252770: The sum of a two-digit number is 13. When 9 is subtracted from the original number, the resulting number is the reverse of the original number. What is the new number?
Click here to see answer by richwmiller(17219)

Question 252767: eight less than three times a number is 36 more than one-fourth of the number. Find the number.
Click here to see answer by checkley77(12844)

Question 252771: Tony can paint his garage in 3 1/2 hours. But Roger helped him finished painting in an hour, how long will it take Roger to finish the work alone?
Click here to see answer by richwmiller(17219)

Question 252955: A cargo ship carrying scrap iron was floating in a water-tight lock in the canal. The crewmen were angry at the captain because they not been allowed ashore for many weeks. The crew mutinied and threw the scrap iron cargo overboard.
Did the water level in the lock rise, did it descend, or did it remain the same?
Click here to see answer by drk(1908)

Question 253137: Dan can clean the garage in 6 hours. Bea can do the same job in 8 hours. if they work together, how long would it take them to clean the garage?
Click here to see answer by Alan3354(69443)

Question 253386: A certain job has been estimated to take 10 men 5days. On day 4, half of the job has been completed. How many additional men must be addd to the crew in order to complete the job on time?
Click here to see answer by palanisamy(496)

Question 253758: Mark and Bert together can finish the job in 4 hours. How fast can Bert finish the job alone if Mark can finish it in 9 hours?
Click here to see answer by ptaylor(2198)

Question 254699: A ball thrown in the air with a velocity of 24.6 m/s is at a height represented by h(t)=24.6t-4.9t^2 + 2 meters after t seconds.
a) After how many seconds will the ball fall to the ground? (I think 2)
b) When is the ball increasing? Decreasing?
c) After how many seconds is the height of the ball the greatest?
Click here to see answer by stanbon(75887)

Question 254720: A soccer ball is kicked into the air and its height in meters above ground, h, recorded after t seconds. The height of the ball is described by the function h(t)= -3t^2+24t+1.
a) Determine when the ball reached its maximum height. (I think 1 sec)
b) Determine the ball's maximum height.
c) Determine the instantanneous velocity of the projectile at t= 2.8 sec.
d) Determine the instantaneous velocity of the projectile at t= 4.5 sec.What does the negative sign mean? ( That is is falling back to the ground?)
e) Determine the instantaneous velocity of the projectile at t=4 sec.
Click here to see answer by Alan3354(69443)

Question 254957: If A can finish a job 50% faster than B and 20% faster than C, and together they can finish the job in 4 hours, how long would it take A to finish the job alone?
Click here to see answer by ankor@dixie-net.com(22740)

Question 254947: A swimming pool is 1 meters deep, 6 meters wide, and 30 meters long. Water is pumped into the pool at a rate of 100 liters per minute. How many hours will it take to fill the pool? (Remember that there are 1000 liters in a cubic meter).
Click here to see answer by edjones(8007)

Question 254948: A painter is paid 9 dollars per hour and can paint 8 m^2 with a roller in this time. Renting a spray gun costs 5 dollars for each hour of use, and the painter can paint 20 m^2 per hour with the spray gun. It takes 1/2 an hour for the painter to clean up after using the roller, but 1 hour using the spray gun. You must pay the painter for her time and you must also pay for renting the spray gun for the total amount of time (including clean up) the spray gun was needed. How much money do you save by using the spray gun on a paint job that involves painting 40 m^2.
money saved= ____ dollars
Click here to see answer by richwmiller(17219)

Question 254740: Sally can paint a house in 4 hours, while John can paint the same house in 6 hours. How long will it take for the two of them to paint house together?
Click here to see answer by vksarvepalli(154)

Question 255439: Brett usually takes 50 min. to groom the horses. After working 10 min., he was joined by Angela and they finished the grooming in 15 min. How long would it have taken Angela working alone?
Click here to see answer by ankor@dixie-net.com(22740)

Question 255444: It takes Gary 1 hr. to milk all the cows, and it takes Dana 1.5 hrs. How long will it take them to do the job together?
Click here to see answer by richwmiller(17219)

Question 76: sally paints a house in 4 hours sam paints it in 6 hours how many hours will it take both to paint the house
Click here to see answer by richwmiller(17219)

Question 76: sally paints a house in 4 hours sam paints it in 6 hours how many hours will it take both to paint the house
Click here to see answer by Alan3354(69443)

Question 255442: Phil can paint the garage in 12 hrs., and Rick can do it in 10 hrs. They work together for 3 hrs. How long will it take Rick to finish the job alone?
Click here to see answer by ankor@dixie-net.com(22740)

Question 255447: Arthur can do a job in 30 min., Bonnie can do it in 40 min., Claire can do it in 60 min. How long will it take them if they work together?
Click here to see answer by richwmiller(17219)

Question 255743: 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?
Thank you!!!
Click here to see answer by checkley77(12844)

Question 255993:
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 palanisamy(496)

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