Discussion :: Pipes and Cistern
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Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in:
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A.
1 \( \frac { 13 } { 17 }\)hours |
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B.
2 \( \frac { 8 } { 11 }\)hours |
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C.
3 \( \frac { 9 } { 17 }\)hours |
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D.
4\( \frac { 1} { 2 }\) hours |
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Answer : Option C
Explanation :
Net part filled in 1 hour [\(\frac { 1 } { 5 } \)+ \(\frac { 1 } { 6 } \) - \(\frac { 1 } { 12 } \) ] = \(\frac { 1 7} { 60 } \)
The tank will be full in \(\frac { 60} { 17 } \)hours hours i.e., 3 \(\frac { 9} { 17 } \)hours
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