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?
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?
To find out how quickly all three can fill the pool together, we need to determine their combined rate of working. Jim can fill the pool in 30 minutes, so his rate is 1/30 pools per minute. Sue can fill it in 45 minutes, so her rate is 1/45 pools per minute. Tony can do it in 1½ hours, which is 90 minutes, so his rate is 1/90 pools per minute. Adding their rates together gives (1/30) + (1/45) + (1/90). Finding a common denominator and summing the fractions, we get (3/90) + (2/90) + (1/90) = (6/90) = 1/15 pools per minute. The time it takes for them to fill one pool together is the reciprocal of the combined rate, which is 15 minutes. Thus, all three can fill the pool together in 15 minutes.
The question is wrong - Here is the correct one 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?
Sorry! Here is the correct one - 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?