To find: How long will it take the larger pump to finish emptying the pool?
Answer to Problem 50AYU
1 and hours will it take the larger pump to finish emptying the pool.
Explanation of Solution
Given:
A 5-horsepower (hp) pump can empty a pool in 5 hours. A smaller, 2-hp pump empties the same pool in 8 hours. The pumps are used together to begin emptying this pool. After 2 hours, the 2-hp pump breaks down.
Calculation:
Let the work that the 5 hp pump does each hour (if it can do the whole job in 5 hours, it is doing of the job each hour.
Let the work that the 2 hp pump.
Therefore,
or of the job each hour.
So in 2 hours, they have completed (or) .
This means that there is only of the job left to do.
We know that the rate of work time amount of work completed so, .
Therefore time or 1 and hours.
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