Question

A full tank gets emptied in 6 min due to presence of orifice in it.on opening a tab which fills the tank at the rate of 8l/min,the tank gets emptied in 10 min.find capacity of tank

Answer 1

Answer:

The capacity of the tank is 120 litres.

Step-by-step explanation:

Let “l” be the time taken to fill the tank = 6 min

Let “T” be the time taken by the tap to fill the tank= x min

When the tap is open, the tank will empty in 10 min

Putting the above in terms of equation, we get

(1/6) – (1/x) = 1/10  

1/x= (1/6) - 1/10 (Based on re-arrangement)

(Taking LCM of 6 and 10 = 30)

1/x = (5-3)/30

1/x = 2/30= 1/15

x= 15 min

Since the tap fill the tank in 15 min at the rate of 8 litre/min

Therefore the capacity of the tank = 8x15

                            =120 litre