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      Question

      Three pipes are connected to a tank. Pipe A can fill it

      in 30 minutes, pipe B can fill it in 60 minutes, while pipe C can empty the completely filled tank in 40 minutes. Pipe A is opened first, pipe B after 10 minutes, and pipe C after 20 minutes. Find the total time taken to fill the tank.
      A 20 min 30 sec Correct Answer Incorrect Answer
      B 26 min 40 sec Correct Answer Incorrect Answer
      C 40 min 20 sec Correct Answer Incorrect Answer
      D 45 min 15 sec Correct Answer Incorrect Answer
      E 17 min 25 sec Correct Answer Incorrect Answer

      Solution

      Let the capacity of the tank be 120 litres. {LCM (30, 60 and 40)}
      So, efficiency of inlet pipe A = 120 ├╖ 30 = 4 litres/minute
      And, efficiency of inlet pipe B = 120 ├╖ 60 = 2 litres/minute
      And, efficiency of outlet pipe C = 120 ├╖ 40 = 3 litres/minute
      In first 10 minutes, pipe A will fill 10 ├Ч 4 = 40 litres
      And, pipes A and B together will fill 10 ├Ч (4 + 2) = 60 litres
      So, required time = 10 + 10 + {(120 тИТ 40 тИТ 60) ├╖ (4 + 2 тИТ 3)}
      = 20 + (20 ├╖ 3) = 26 minutes 40 seconds

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