Two pipes X and Y fill one-third of the tank in 12 hrs and 15 hrs…

2016

Two pipes X and Y fill one-third of the tank in 12 hrs and 15 hrs respectively. If both pipes are opened simultaneously, how much time will be taken to fill the tank?

  1. A.

    20 hours

  2. B.

    10 hours

  3. C.

    15 hours

  4. D.

    12 hours

Attempted by 4 students.

Show answer & explanation

Correct answer: A

Pipe X fills one-third of the tank in 12 hours, so it fills the full tank in 36 hours. Pipe Y fills one-third in 15 hours, so it fills the full tank in 45 hours. Together their rate is 1/36 + 1/45 = 1/20 tank per hour, so they fill the tank in 20 hours.

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