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Two taps together fill a trough in 5 hours. One alone takes 24 hours longer than the other. How long does the slower tap take?

Class 10Quadratic Word Problems: Work and PipesQuadratic Equations

A6 hours
B30 hours
C24 hours
D29 hours

Step-by-Step Solution

\frac{1}{x} + \frac{1}{x + 24} = \frac{1}{5} : x^{2} + 14 x - 120 = 0, (x - 6) (x + 20) = 0

. Faster 6 h, slower 30 h.

Answer: B) 30 hours

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