Pipes A and B can fill a tank in 43.2 minutes and 108 minutes, respectively. Pipe C can empty it at 3 liters/minutes. When all the three pipes are opened together, they fill the tank in 54 minutes. The capacity (in liters) of the tank is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 216
Concept
LCM approach to calculate total work
Application
Let Total work = 432 units
A's efficieny = 432 / 43.2 = 10 units/min
B's efficiency = 432 / 108 = 4 units/min
Efficiency of (A + B + C) = 432 / 54 = 8 units/min
C's = (10 + 4 – 8) units/min
6 units/min
Capacity of tank = (432/6) × 3 litres
(72 × 3) litres
216 litres