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Doctors Medicines MCQs Q&A

  1. 30 min.
  2. 45 min.
  3. 60 min.
  4. 75 min.
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1 Answers

Option 3 : 60 min.

Part filled by A in 1 hr. = 1/6

Part filled by B in 1 hr. = 1/4

Part emptied by C in 1 hr. = 1/8

Firstly, pipes A and B are simultaneously opened for 2 hours,

Part filled in 2 hours = 2(1/6 + 1/4) = 2(5/12) = 5/6

Next, pipe C was opened for 2 hours,

Part emptied in 2 hours = 2(1/8) = 1/4

Part of tank that remain filled = 5/6 - 1/4 = 7/12

Now, pipes A and B are opened to fill the tank,

Let they take ‘x’ hrs. to fill the tank,

Part of tank to be filled = 1 - 7/12 = 5/12

⇒ x(1/6 + 1/4) = 5/12

⇒ x(5/12) = 5/12

⇒ x = 1 hr. = 60 min.

∴ The tank will be full in 60 min.
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