# Geometry Puzzle – Challenge 74

## Challenge:

The capacity of a pool is 2100 cubic meters. There is one pope to fill the pool. The pope fills the pool at the rate of 5 cubic meters per 12 minutes. There is a hole at the bottom of the pool and the water exists from the pool at the rate of 3 cubic meters per 45 minutes. How many hours does it take to fill the pool completely?

A- 25

B- 60

C- 85

D- 100

E- 110

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The pope fills the pool at the rate of 5 cubic meters per 12 minutes. So, the rate of filling the pool per hour is 5 × 5 = 25 cubic meters.
The water exists from the pool at the rate of 3 cubic meters per 45 minutes or 4 cubic meters per hour. Therefore, the pool will be filled at the rate of 25 cubic meters – 4 cubic meters = 21 cubic meters.
The capacity of a pool is 2100 cubic meters. So, it takes 100 hours (2100 ÷ 21 = 100) to fill the pool completely.

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