There are two cylindrical shaped tanks, P and Q. P has a capacity twice of Q. When tank P is filled at the rate of 2 liters per minute, it takes 20 minutes more to fill as compared to the time taken when tank Q is filled at 3 liters per minute. Find the capacity of tank Q.
1). 30 liters
2). 60 liters
3). 120 liters
4). 90 liters
P has a capacity twice of Q.
Let us suppose that capacities of tanks P and Q are 2T liters and T liters, respectively.
When tank P is filled at the rate of 2 liters per minute, it takes 20 minutes to fill more as compared to the time taken when tank Q is filled at 3 liters per minute.
⇒ Time taken to fill tank P at 2 liters per minute = 2T/2 = T minutes
⇒ Time taken to fill tank Q at 3 liters per minute = T/3 minutes
T = 20 + (T/3)
⇒ 2T/3 = 20
⇒ T = 30
∴ Capacity of tank Q is 30 liters.