Question

One pump can fill a swimming pool in 8 hours and another pump can fill it in 10 hours. If both pumps are opened at the same time, how many hours will it take to fill the pool?

Answer 1

Answer: It will take 4.4 hours to fill the pool.

Step-by-step explanation: One pump can fill a swimming pool in 8 hours and another pump can fill it in 10 hours. If both pumps are opened at the same time, how many hours will it take to fill the pool?

Aprox. 4.4 hours.

Hope this Helps!

Answer 2

It will take 4.4 hours to fill the swimming pool when two pumps are opened.

Explanation:

Given:

One pump can fill a swimming pool in 8 hours and another pump can fill it in 10 hours.

First we need to calculate, in 1 hour how much water a pump pour into the swimming pool.

In 1 hour, the first pump can pour water into the swimming pool =
`(1)/(8)`

In 1 hour, the second pump can pour water into the swimming pool =
`(1)/(10)`

Let "t" be the time taken to fill the pool when two both the pups are opened.

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

Now we have to solve for t. We have to take LCD of 8 and 10.

The Least common denominator (LCD) of 8 and 10 is 40.

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

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

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

Now we have to cross multiply and solve for t

9t = 40

Dividing both sides by 9, we get

t = 4.444

Which is approximately, t = 4.4 hours.

Therefore, it will take 4.4 hours to fill the swimming pool when two pumps are opened.