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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 liters2). 60 liters3). 120 liters4). 90 liters |
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Answer» 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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