Two water pumps are filling a pool. one of the pumps is high power and can fill the pool 5 hours before the other can do. however, they both working together can fill half of the pool in 3 hours. in how many hours the high power pump can fill the pool?

The time taken by the high power pump can fill the pool is

Further explanation:

Given:

One of the pumps is high power and can fill the pool 5 hours before the other can do.

They both working together can fill half of the pool in 3 hours.

Explanation:

Consider the time taken by the slower pump be

The taken by the high speed pump is .

The amount of water filled in one hour by slower pump can be expressed as follows,

The amount of water filled in one hour by slower pump can be expressed as follows,

They both working together can fill half of the pool in 3 hours.

Solve the quadratic equation.

The time taken by the slower pump is

The time taken by the high power pump can be obtained as follows,

The time taken by the high power pump can fill the pool is

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Quadratic equation

Keywords: water pump, pool, two water pumps, 5 hours, high power pumps, working, together, slower pump.