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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 pipe 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 each pipe take to fill the swimming pool ?

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The correct Answer is:
Pipe of larger diameter will take 20 hours and the other pipe will take 30 hours
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