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  • Question
  • There are 7 pipes attached with a tank out of which some are inlets and some are outlets. Every inlet can fill the tank in 10 h and every outlet can empty the tank in 15 h. When all the pipes are opened simultaneously, the tank is filled up in 2 8/ 11 h. Find the numbers of inlets and outlets.?


  • Options
  • A. 5, 2
  • B. 6,1
  • C. 4,3
  • D. 3,4

  • Correct Answer
  • 5, 2 

    Explanation

    Let number of outlets be x
    ? Number of inlets = ( 7 - x )
    Time taken to fill the tank when all the pipes are opened = 30/11h
    Part of tank filled in 1 h when all the pipes are opened = 11/30 h

    According to the question,
    (7 - x)/10 - x/15 = 11/30
    ? {3(7 - x) - 2x}/30 = 11/30
    ? 21 - 3x - 2x = 11
    ? 5x = 10
    ? x = 2
    Hence, number of outlets = 2 and number of inlets = 7 - 2 = 5


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