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Tank can be filled by pipe A alone in 90 min and by pipe B alone in 60 min. There is a tap in bottom of tank which can empty the tank in 18 min. In a condition when tank is filled by pipe A and B for 20 min and then close and open the bottom tap. The time taken by tap to empty the tank is ….. min.

Tank can be filled by pipe A alone in 90 min and by pipe B alone in 60 min. There is a tap in bottom of tank which can empty the tank in 18 min. In a condition when tank is filled by pipe A and B for 20 min and then close and open the bottom tap. The time taken by tap to empty the tank is ….. min. Correct Answer 10 min

Amount of tank filled in 1 min by pipe A = 1/90

Amount of tank filled in 1 min by pipe B = 1/60

Amount of water remove in 1 min by tap = 1/18

Amount of tank filled by both pipe A and B in 1 min = 1/90 + 1/60 = (4 + 6)/360 = 1/36

Amount of tank filled in 20 min = 20 × 1/36 = 10/18 = 5/9

Consider time require to empty the tank is x min,

As describe in a question, 18 min require to empty the full tank,

Amount of water leave the tap in 1 min = 1/18

∴ x = (10/18) × 18 = 10 min

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