SOLUTION: Jim can fill a pool carrying bucks 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 tog

Question 112660: Jim can fill a pool carrying bucks 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?
Found 2 solutions by chitra, josmiceli:
Answer by chitra(359) (Show Source): You can put this solution on YOUR website!
Jim can fill the pool in 30 minutes

So in one minute he can fill of the tank

Sue can fill the same pool in 45 minutes.

So in one minute she can fill of the tank

Tony can fill the pool in 90 minutes.

So in one minute he can fill of the tank

so the time taken by all of them to fill the same pool is given by:

taking LCM we get this:

==>

so taking reciprocal we get the time taken by all the three to fill the tank

==> they take 15 minutes in total to fill the tank.

Hence the solution.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Jim's rate of filling the pool is
(1 pool / 30 min)
Sue's rate is
(1 pool / 45 min)
Tony's rate is
(1 pool / 90 min)
Working together, I add the rates to get the combined rate
(1 pool / 30 min)+(1 pool / 45 min)+(1 pool / 90 min) = (1 pool / x min)

min answer
Working together, all three fill the pool in 15 minutes
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