Question

A motor tank can be filled in 5 and there is tap that can empty it in 4 m if he tank is alredy half filled and both pump and tap is opened together when will the tank is emptied

Answer 1

motor tank will be emptied in 11 min

Answer 2

Given:

A motor tank can be filled in 5m and there is a tap that can empty it in 4m

To Find:

If both pump and tap is opened together when will the tank is emptied

Step-by-step explanation:

• According to the question, half part of the tank is filled and another half part of the tank is empty.
• So, part of the tank to be emptied = $\frac{1}{2}$

        as half part is filled

• Part of the tank emptied in 1 minute = { ${\frac{1}{4} -\frac{1}{5} }$}

        LCM of 4 and 5 is 20 So, the fraction become

                  $\frac{5-4}{20}=\frac{1}{20}$

• i.e 1/20 part of the whole tant can be emptied.

        ∴ The whole tank can be emptied in 20 minutes

   Since the tank is half full therefore it will be emptied in 10 minute