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Q)

If two pipes A and B can fill a tank in *t* min. If time taken by A alone is 4 minutes more than *t* and time taken by B alone is 25 minutes more than *t*, then the time taken by both the pipes together is?

Explanation

According to the above given formula, Two pipes A and B can together fill a tank in time T. If time taken by pipe A alone is more than T by x and the time taken by pipe B alone is more than T by y, then T is $\sqrt{\mathrm{xy}}$ min.

So, ${\mathrm{T}}{=}\sqrt{4\times 25}{=}\sqrt{100}{=}{10}{}{\mathrm{min}}$

The tank will be completely filled in 10 min.

**Hence option C is correct**

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