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Two water taps together can fill a tank...

Two water taps together can fill a tank in `9 3/8`hours. The tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.

Text Solution

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Let the tap with a smaller diameter fills the tank alone in x hours
Let the tap with a larger diameter fills the tank alone in `(x – 10)` hours.
In 1 hour, the tap with a smaller diameter can fill the `1/x `part of the tank.
In 1 hour, the tap with a larger diameter can fill the `1/(x – 10) `part of the tank.
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