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You are here: Home / Question and Answers

A pipe can empty a tank in 12 minutes and another pipe can empty it in 16 minutes. If both the pipes are opened simultaneously, find the time in which a full tank is emptied?

A. 

6 minutes

B. 

6(1/7) minutes

C. 

6(2/7) minutes

D. 

None of these

Answer
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Answer with explanation

Answer: Option D

Explanation

Pipes A and B can empty the tank in 12 and 16 minutes respectively.

Therefore,part empty by pipe A in 1 hour = 1/12

part empty by pipe B in 1 hour = 1/16

the quantity empty if all the pipes are opened together = 1/12 + 1/16

==> [(16+12)/ 192]  ( L. C. M of 16 & 12)

==> (28 / 192)

==> (7 / 48)

Required time = 48 / 7 = 6(6/7)minutes

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Comments

  1. amit says

    January 10, 2020 at 11:59 am

    how 66/7comes

    Reply
    • Saran Harika says

      January 21, 2020 at 3:23 pm

      Pipes A and B can fill the tank in 12 and 16 hours respectively. Therefore,
      part filled by pipe A in 1 hour = 1/12
      part filled by pipe B in 1 hour = 1/16

      the quantity filled if all the pipes are opened together = 1/12 + 1/16

      ==> [(16+12)/ 192]  ( L. C. M of 16 & 12)

      ==> (28 / 192)

      ==> (7 / 48)

      Required time = 48 / 7 = 6 6/7

      Reply
  2. Raja Mishra says

    February 2, 2020 at 6:20 pm

    plzz repeat sir

    Reply
    • Saran Harika says

      February 3, 2020 at 3:37 pm

      Pipes A and B can fill the tank in 12 and 16 hours respectively.

      Therefore,part filled by pipe A in 1 hour = 1/12

      part filled by pipe B in 1 hour = 1/16

      the quantity filled if all the pipes are opened together = 1/12 + 1/16

      ==> [(16+12)/ 192]  ( L. C. M of 16 & 12)

      ==> (28 / 192)

      ==> (7 / 48)

      Required time = 48 / 7 = 6(6/7)

      Reply
  3. Srilatha says

    March 19, 2020 at 7:14 pm

    mam here it is saying about emptying the tank in mins.. I don’t get it !!

    Reply
    • Vamsi says

      March 20, 2020 at 11:07 am

      Pipes A and B can empty the tank in 12 and 16 hours respectively.

      Therefore,part empty by pipe A in 1 hour = 1/12

      part empty by pipe B in 1 hour = 1/16

      the quantity empty if all the pipes are opened together = 1/12 + 1/16

      ==> [(16+12)/ 192] ( L. C. M of 16 & 12)

      ==> (28 / 192)

      ==> (7 / 48)

      Required time = 48 / 7 = 6(6/7)

      Reply
  4. sonika j says

    March 23, 2020 at 2:11 pm

    s it is in min

    Reply
    • Vamsi says

      March 24, 2020 at 11:11 am

      yes. the answer is in minutes

      Reply
  5. Soumi saha says

    April 11, 2020 at 10:52 am

    Need the answer plz

    Reply
    • Vamsi says

      April 14, 2020 at 9:43 am

      the answer is 6(6/7). none of these check it once

      Reply

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