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There are three inlet taps in a water ta...

There are three inlet taps in a water tank whose diameters are 2 cm, 3 cm and 5 cm respectively.The ratio of the water flowing through them is equal to the ratio of the square of their diameters. The inlet tap of least diameter fill the empty water tank alone in 10 minutes. Find the time taken to fill the empty tank when all the three inlet taps are open together.

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The correct Answer is:
`1 (1)/(9)` minutes
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