Apump started filling an empty pool with water and continued at a constant rate until the pool was full. at noon the pool was 1/3 full, and 1/4 hours later it was 3/4 full. what was the total number of hours that it took the pump to fill the pool?

The pump fill the pool in 3/5 hours

Step-by-step explanation:

From noon to 1/4 hours later, the pool goes from 1/3 to 3/4 full. That's means that the pool fill X quantity in 1/4 hours, where X is calculate as:

So, the constant rate R can be calculated as:

That means that every hour the pool can be fill 5/3 full, so if we want to know how many hours is needed to fill the poll one time, we can write the following equation:

Where t is the time required to fill the pool. Solving for t we get:

t = 3/5 hours

so, the pump fill the pool in 3/5 hours or 36 minutes with a constant rate of 5/3.

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