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Question

Three pipes A, B and C can fill a tank in 6 hours After working at it together for 2 hours , C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is :

A
10
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B
12
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C
14
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D
16
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Solution

The correct option is C 14
Part of the tank filled by (A + B + C) in 2 hours = 2×16=13
Remaining part = 113=23
23rd of the tank is filled by (A + B) in 7 hours.
The whole tank is filled by (A + B) in (7×32)hours=212hours
Part of the tank filled by C in 1 hour = Part of the tank filled by (A + B + C) in 1 hour - Part of the tank filled by (A + B) in 1 hour = 16221=342=114
C can fill the whole tank in 14 hours.

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