Question

There are two drains in a swimming pool. Drain A empties the pool ALONE in 4.75 hours. When both drains are on it takes 2.6 hours to drain the pool. How long would it take Drain B to empty the pool ALONE.

Answer 1

Drain B would take (1/2.6 - 1/4.75) hours to empty the pool alone.

Step-by-step explanation:

Let's denote the rate at which Drain A can empty the pool alone as x liters per hour, and the rate at which Drain B can empty the pool alone as y liters per hour.

We can set up the following equations:

1. Drain A empties the pool alone in 4.75 hours:

x * 4.75 = volume of the pool

2. When both drains are on, it takes 2.6 hours to drain the pool:

(x + y) * 2.6 = volume of the pool

Simplifying the equations, we get:

x = (volume of the pool) / 4.75

(x + y) = (volume of the pool) / 2.6

Now, to find the time it would take Drain B to empty the pool alone, we can substitute the value of x from the first equation into the second equation:

y = (volume of the pool) / 2.6 - (volume of the pool) / 4.75

y = (volume of the pool) * (1/2.6 - 1/4.75)

Therefore, Drain B would take (1/2.6 - 1/4.75) hours to empty the pool alone.

Answer 2

5.74 hours

Step-by-step explanation:

Please kindly check the attached files for explanation.