Problems involving combined work (or leakage/ filling) can be solved by adding the individual rates. Rate is defined as the amount of work done per unit of time (e.g., fraction of tyre volume emptied per minute). The total time taken when working together is the reciprocal of the combined rate.
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?
Asked in GPSC Prelims CSP 1 2024 · Topic: Mechanics (Newton's Laws of Motion and their applications)
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