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Option 3 : 2
Given:
Pipe A can fill a tank in 4 hours
Pipe B can fill a tank in 6 hours
Pipe C can empty the tank in 3 hours
Formula used:
Work done = Time × Efficiency
Time ∝ 1/Efficiency
Calculation:
In one hour pipe, A can fill 1/4
In one-hour pipe, B can fill 1/6
In one-hour pipe, C can empty 1/3
Pipe A and B are opened for 2 hours
(1/6 + 1/4) × 2 = 5/6
Empty tank left
1 - 5/6 = 1/6
Now, C is opened
1/4 + 1/6 - 1/3 = 1/12
No tank will be filled in
= (1/6)/(1/12) = 12/6 = 2 hours
∴ The tank is filled in the next 2 hours after pipe C is opened.
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