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Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: Pipe E can fill a tank in 2 hours. Due to leakage at the bottom of the tank, it takes 4 hours to fill a tank. In what time the leakage will empty the fully filled tank? Quantity B: 2 hours

Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: Pipe E can fill a tank in 2 hours. Due to leakage at the bottom of the tank, it takes 4 hours to fill a tank. In what time the leakage will empty the fully filled tank? Quantity B: 2 hours Correct Answer Quantity A > Quantity B

Quantity A:

Time taken by leakage to empty the fully filled tank

Normally Tank filled in 1 hour – tank emptied in 1 hour = tank filled in 1 hour due to leakage

Let the time taken by leakage to fill a tank is x hours.

Tank filled by pipe E in 1 hour = ½

Tank emptied due to leakage in 1 hour = 1/x

Tank filled in 1 hour due to leakage = ¼

(1/2) – (1/x) = (1/4)

(1/2) – (1/4) = (1/x)

(2 -1)/4 = (1/x)

x = 4 hours

∴ leakage will take 4 hours to emptied a fully filled tank

Quantity B:

2 hours

∴ Quantity A > Quantity B

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