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Two pipes together fill a tank in 6 hours. One pipe alone takes 5 hours longer than the other. How long does the faster pipe take alone?

Class 10Quadratic Word Problems: Work and PipesQuadratic Equations

A15 hours
B3 hours
C10 hours
D12 hours

Step-by-Step Solution

\frac{1}{x} + \frac{1}{x + 5} = \frac{1}{6} : 6 (2 x + 5) = x^{2} + 5 x, so x^{2} - 7 x - 30 = 0, (x - 10) (x + 3) = 0, x = 10

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Answer: C) 10 hours

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