Question

Two large and 1 small pumps can fill a swimming pool in 4 hours. One large and 3 small pumps can also fill the same swimming pool in 4 hours. How many hours will it take 4 large and 4 small pumps to fill the swimming pool?

Answer 1

Answer:

Two large and 1 small pumps can fill a swimming pool in 4 hours. One large and 3 small pumps can also fill the same swimming pool in 4 hours. How many hours will it take 4 large and 4 small

Answer 2

The first pump drains half the pond in three hours. When the second pump is added the other half of the pond is drained in a half hour. Let n be the number of hours the second pump requires to drain half the pond. Then:

1/3+1/n=1/0.5

(n+1)/3n=2

n+1=6n

5n=1

n=1/5

Since it takes 1/5 of an hour for the second pump to drain half the pond it will take the second pump 2/5 of an hour to drain the entire pond by itself. 2/5 of an hour is 24 minutes.

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