SOLUTION: how could i salve this problem?.. supposable a small pump can empty a swimming pool in 60 hours and that a large pump can empty a pool in 20 hours. working together how long would

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Question 910668: how could i salve this problem?.. supposable a small pump can empty a swimming pool in 60 hours and that a large pump can empty a pool in 20 hours. working together how long would it take to empty a pool?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Very generally, two agents performing at rates 1/t and 1/T, so that the rate 1/T is for the small or slower, and 1/t is the rate for the faster bigger agent, then the combined rate for both agents working simultaneously on the same item will be the sum of their rates:

%281%2Ft%2B1%2FT%29
%281%2Ft%29%28T%2FT%29%2B%281%2FT%29%28t%2Ft%29
T%2F%28tT%29%2Bt%2F%28tT%29
highlight%28%28T%2Bt%29%2F%28tT%29%29

I have used lower case, t, for the shorter amount of time and upper case T for the bigger amount of time; the slower the agent, the larger the time for it to do the 1 unit of the job.

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

how could i salve this problem?.. supposable a small pump can empty a swimming pool in 60 hours and that a large pump can empty a pool in 20 hours. working together how long would it take to empty a pool?


Time taken by both to empty tank: highlight_green%2815%29 hours

You can do the check!! 



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