Four identical pumps can fill a pool in 2 hours and 18 minutes. How many of these pumps would

Four identical pumps can fill a pool in 2 hours and 18 minutes. How many of these pumps would it take to fill this pool in 1 hour 32 minutes?

Let’s convert the time into hours:

2 hours 18 minutes = 2.3 hours;

1 hour 32 minutes = 92/60 hours = 23/15 hours.

Four pumps take 2.3 hours to fill a pool, which means it takes 4 times longer for a pool to fill one such pump:

2.3 * 4 = 9.2 (h).

In one hour, one pump fills the pool 1 / 9.2 of the volume.

Accordingly, in 23/15 hours, one pump will fill the pool for the following volume fraction:

23/15 * 1 / 9.2 = 23/15 * 10/92 = 1/6.

Therefore, it will take 6 pumps to fill the pool in the specified time.

Answer: 6 pumps.