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Two pumps together drain a tank in 12 hours. One pump alone takes 18 hours longer than the other. How long does the slower pump take?

Class 10Quadratic Word Problems: Work and PipesQuadratic Equations

A18 hours
B30 hours
C36 hours
D24 hours

Step-by-Step Solution

\frac{1}{x} + \frac{1}{x + 18} = \frac{1}{12} : x^{2} - 6 x - 216 = 0, (x - 18) (x + 12) = 0

. Faster 18 h, slower 36 h.

Answer: C) 36 hours

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