SOLUTION: One pump can empty the town swimming pool in 7h less time than a second pump can. Together they empty the pool in 12h. How long would it take the larger pump alone to empty it.

Question 1140225: One pump can empty the town swimming pool in 7h less time than a second pump can. Together they empty the pool in 12h. How long would it take the larger pump alone to empty it.
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
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Considering rate of work of separate pumps and their combined rate, you get this basic equation


 +  = ,


where x is the time for the larger (=for the faster) pump.


Solve it for x, which is the value under the question.


The solution is reducing the problem to a quadratic equation.


The way to do it is to multiply both sides of the given equation by 12x*(x+7).

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To see many similar solved problems, look into the lesson
- Using quadratic equations to solve word problems on joint work
in this site.

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