A tank is 1/3rd filled with water . It is connected with 2 pipes A and B . Pipe A can fill tank in 12 mins and pipe B can empty it in 6 mins. If A and B are opened at the same time,how much time will be required to empty the tank ?
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4 mins
Step-by-step explanation:
A can fill it in 12 mins and B can empty it in 6 mins.
therefore, total amount of water ( lcm of 12 and 6) = 12 units
Efficiency of pipe A = (12/12) = 1 (+ve)
Efficiency of pipe B = (12/6) = 2 (-ve)
together they can fill = ( 1-2) = -1 (i.e it will empty the tank)
tank filled with water = 1/3 × 12 = 4 units
they will empty the tank in 4/1 = 4 mins
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