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.
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-> 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.
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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(52802) (Show Source):
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).
