Question

2 pipes can fill a tank in 40 and 50 min 3rd outlet can empty the tank at rate of 61 /min working together,they can fill the tank in 25 min. what is capacity​

Answer 1

The capacity of the tank is 8725 units.

Given: 2 pipes can fill a tank in 40 and 50 min 3rd outlet can empty the tank at a rate of 61 /min working together, they can fill the tank in 25 min.

To find: We have to find the capacity of the tank.

Solution:

2 pipes can fill a tank in 40 and 50 min 3rd outlet can empty the tank at a rate of 61 /min working together.

So, the total capacity is

$40 = 2 \times2 \times 5 \times 2 \\ 50 = 5 \times 5 \times 2 \\ 61 = 61 \times 1$

$2 \times 4 \times 5 \times 5 \times 61 = 12200$

The capacity of the pipes are-

$12200 \div 40 = 305 \\ 12200 \div 50 = 244$

The capacity of the outlet pipe is -

$12200 \div 61 = 200$

The total capacity of the three pipes are-

$305 + 244 - 200 = 349$

So, the capacity of the tank is -

$349 \times 25 = 8725$

The capacity of the tank is 8725 units.