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  • Question
  • Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is:


  • Options
  • A. 10
  • B. 12
  • C. 14
  • D. 16

  • Correct Answer
  • 14 

    Explanation

    Part filled in 2 hours = 2 = 1
    6 3

    Remaining part = 1 - 1 = 2 .
    3 3

    ∴ (A + B)'s 7 hour's work = 2
    3

    (A + B)'s 1 hour's work = 2
    21

    ∴ C's 1 hour's work = { (A + B + C)'s 1 hour's work } - { (A + B)'s 1 hour's work }

       = 1 - 2 = 1
    6 21 14

    ∴ C alone can fill the tank in 14 hours.

    Tags: Bank Exams

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