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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.

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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


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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.

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