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 ½ hours. How quickly can all three fill the pool tog

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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 ½ hours. How quickly can all three fill the pool together?
Found 2 solutions by chitra, josmiceli:
Answer by chitra(359) About Me  (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 1%2F30 of the tank

Sue can fill the same pool in 45 minutes.

So in one minute she can fill 1%2F45 of the tank

Tony can fill the pool in 90 minutes.

So in one minute he can fill 1%2F90 of the tank

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

%281%2F30%29+%2B+%281%2F45%29+%2B+%281%2F90%29

%283+%2B+2+%2B+1%29%2F90 taking LCM we get this:


%286%2F90%29

==> %281%2F15%29

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) About Me  (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)
%281+%2F+30%29+%2B+%281+%2F+45%29+%2B+%281+%2F+90%29+=+1+%2F+x
%283+%2F+90%29+%2B+%282+%2F+90%29+%2B+%281+%2F+90%29+=+1+%2F+x
6+%2F+90+=+1+%2F+x
x+=+90+%2F+6
x+=+15min answer
Working together, all three fill the pool in 15 minutes