Question

one pump can fill a swimming pool in 8 hours and another pump can fill it in 10 hours if both pumps are open at the same time how many hours will it take to fill the pool​

Answer 1

4.44 hours

Explanation:

One pump can fill a swimming pool in 8 hours.

In 1 hour pump can fill the pool =
`(1)/(8)`

another pump can fill the swimming pool in 10 hours.

in 1 hour another pump can fill the pool =
`(1)/(10)`

Let the total time will it take together to fill the pool = x

`(1)/(8)` +
`(1)/(10)` =
`(1)/(x)`

`(5+4)/(40)` =
`(1)/(x)`

`(9)/(40)` =
`(1)/(x)`

9x = 40

x =
`(40)/(9)`

x = 4.44 hours

It will take 4.44 hours to fill the pool if both pumps are open.