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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 longer diameter is used for 4 hours and the pipe of smaller diameter is used 9 hours, one 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:
Pipe with larger diameter alone will fill the tank in 20 hours and pipe will smaller and will fill the tank alone is 30 hours.
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