It takes an older pump twice as long to drain a certain pool as it does a newer pump. Working together, it takes the two pumps hours to drain the pool. How long will it take the newer pump to drain the pool working alone? Do not do any rounding.

Correct answer: Newer pump x = 3 hours

Step-by-step explanation:

We will first define the variables, let x be the time of the new pump

and 2 x the time of the old pump.

We set the formula as required for both pumps to work together to

drain the pool in 2 hours.

1/x + 1/2x = 1/2 ⇒

the common denominator for both divisions is 2x and that is why we multiply the first fraction by 2 and get:

2/2x + 1/2x = 1/2 ⇒ 3/2x = 1/2 ⇒ 2x = 6 ⇒ x = 3 hours

x = 3 hours

God is with you!