Question

# Tap A can fill a water tank in 12 min, tap B will fill the same tank in 10 min and tap C can empty the tank in 6 min. If all the three taps are opened together, in how many minutes will the tank be completely filled up or emptied?

A
15min
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B
30 min
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C
45 min
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D
60 min
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Solution

## The correct option is D 60 minPart of the tank filled by A in 1 min $=\frac { 1 }{ 12 }$Part of the tank filled by B in 1 min $=\frac { 1 }{ 10 }$.Part of the tank filled when the three taps are opened together =(112+110−16)=5+6−1060=11−1060=160∴ If all the three taps are opened together, then the tank will be filled in 60 minutes.

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