Question

There are two pipes, an inlet pipe which completely fills a tank at $6\frac{litre}{min}$and an outlet pipe which empties the tank at $4\frac{litre}{min}$

The pipes function alternately for $1minute$and the inlet pipe is the first to function.

Considering the capacity of the tank as $50litres$how much time will it take to completely fill the tank?

Answer 1

according to the question,

Given that the capacity of the tank is$50litres$
Now, in the $1stminute,$inlet pipe opened. So, $6litres$will be filled
In the $2ndminute$inlet pipe is closed and the outlet pipe is opened.

So,$4litres$is being emptied.
Hence, at the end of $2minutes$ the tank will be filled with $2litres$
Therefore, the net filling of the tank by the two pipes is $1\frac{litre}{min}$
Thus, for $50litres$of the tank with the pipes functioning alternately for$1minute$ the tank will be filled in $50minutes$

Hence, the Tank will be completely filled in $50minutes$