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Question

A tyre has two punctures. The first puncture alone would have made the tyre flat in 9 minutes and the second alone would have done it in 6 minutes. If air leaks out at a constant rate how long does it take both the punctures together to make it flat ?

A
112 minutes
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B
312 minutes
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C
335 minutes
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D
414 minutes
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Solution

The correct option is C 335 minutes
In 1 minute, first puncture can make 19th of the tyre flat.
In 1 minute, second puncture can make 16th of the tyre flat.
Together, in 1 minute, both punctures can make 19+16=1554th of the tyre flat.

So, time taken for both the punctures to make the tyre flat is 5415minutes=185=335minutes

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