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It takes 12 hours to fill a swimming poo...

It takes 12 hours to fill a swimming pool using two pipes . If the pipes of larger diameter is used for 4 hours and the pipe of smaller diameter is used for 9 hours , only half of the pool is filled. How long would it take for each pipe to fill the pool separately?

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The correct Answer is:
The pipe with diameter `d_(1)` takes 20 hours and the pipe with diameter `d_(2)` takes 30 hours
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