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Mathematics NULL Medium
Question

Three pipes fill a tank: the first two together take as long as the third alone. The second is 5 hours faster than the first and 4 hours slower than the third. Time required by the first pipe?

A
6 hrs
B
10 hrs
C
15 hrs
✓ Official correct answer
D
30 hrs

Community credibility

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A
6 hrs
Official option

No member explanations yet for this option.

B
10 hrs
Official option

No member explanations yet for this option.

C
15 hrs
Official option

No member explanations yet for this option.

D
30 hrs
Official option

No member explanations yet for this option.

Explanation

Let first take x hours: 1/x + 1/(x−5) = 1/(x−9). Solving gives x = 15 hours.

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