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Pipe A can independently empty a half-filled tank in 3 hours whereas pipe B can alone fill the same tank in 4 hours, when the tank is completely empty. In how much time will the empty tank be completely filled, if both the pipes are opened together?

Solution

✅ Correct Option: 4

Pipe A empties a half-filled tank in 3 hours, so empties a full tank in 6 hours: rate =−1/6= -1/6 per hour. Pipe B fills a full tank in 4 hours: rate =+1/4= +1/4 per hour. Combined rate =1/4−1/6=1/12= 1/4 - 1/6 = 1/12 per hour. Time to fill empty tank =12= 12 hours.

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