SOLUTION: 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 1/2 hours. How quickly can all three fill the pool

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Question 354828: 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 1/2 hours. How quickly can all three fill the pool together?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate*Time=Output
.
.
Let P be the output required to fill the pool.
Find each person's rate.
.
.
Jim:R%5Bj%5D%2A30=P
R%5Bj%5D=P%2F30
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.
.
Sue:R%5Bs%5D%2A45=P
R%5Bs%5D=P%2F45
.
.
.
Tony:R%5Bt%5D%2A90=P
R%5Bt%5D=P%2F90
.
.
.
Their output all together,
%28R%5Bj%5D%2BR%5Bs%5D%2BR%5Bt%5D%29%2At=P
Substituting,
%28P%2F30%2BP%2F45%2BP%2F90%29%2At=P
%283%2F90%2B2%2F45%2B1%2F90%29%2At=1
%286%2F90%29%2At=1
highlight%28t=15%29 minutes.