Two pipes together fill a tank in (6\text{ h}). One pipe takes (5\text{ h}) less than the other. In how much time will the faster pipe alone fill the tank?

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Answer and explanation

Correct answer: (10\text{ h})

Let the faster pipe take (x\text{ h}), then (\frac{1}{x}+\frac{1}{x+5}=\frac{1}{6}). This gives (x^2-7x-30=0), so (x=10).

What is the correct answer to this question?

(10\text{ h})

Why is this the correct answer?

Let the faster pipe take (x\text{ h}), then (\frac{1}{x}+\frac{1}{x+5}=\frac{1}{6}). This gives (x^2-7x-30=0), so (x=10).

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Word Problems and Applications.

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