Multiple choice

Two pipes A and B can fill a tank in 6 hours. After working at it together for 2 hours, B is closed and A alone fills the remaining part in 8 hours. How many hours will B alone take to fill the tank?

  1. 12

  2. 16

  3. 8

  4. 4 hours

  5. None of these

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Part of tank filled by A and B in 2 hours = 2/6 = 1/3 So in 8 hours, part of the tank filled by A = 1 - 1/3 = 2/3 In 1 hour, part filled by A = 2/(3 * 8) = 1/12 Now, let B take X hours to fill the tank. So, (1/12) + (1/X) = 1/6 X = 12 hours