Two pipes running together can fill a tank in $11 \frac{1}{9} minutes$ . If one pipe takes 5 minutes more than the other to fill the tank separately, find the time in which each pipe would fill the tank separately.

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Solution

Let the first pipe takes x minutes to fill the tank. Then the second pipe will takes minutes to fill the tank.

Since, the first pipe takes x minutes to fill the tank.

Therefore, portion of the tank filled by the first pipe in one minutes

So, portion of the tank filled by the first pipe in minutes

Similarly,

Portion of the tank filled by the second pipe in minutes

It is given that the tank is filled in minutes.

So,

But, cannot be negative.

Therefore, when x = 20 then

Hence, the first water tape will takes 20 min to fill the tank, and the second water tape will take 25 min to fill the tank.

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