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    The speed of the boat in still water is 24 km/h and the speed of the stream is 4 km/h. The time taken by the boat to travel from A to B downstream is 36 minutes less than the time taken by the same boat to travel from B to C upstream. If the distance between A and B is 4 km more than the distance between B and C, what is the distance between A and B

  • 112 km
  • 140 km
  • 56 km
  • 84 km
  • 28 km
  • Explanation:

    Let the distane between B to C = x km

    Distance between A to B = (x+4) km

    According to question,

    x/(24-4)-x+4/(24+x) = 36/60

    ⇒x/20-x+4/28 = 3/5

    ⇒7x-5x-20/140 = 3/5

    ⇒2x-20 = 3/5×140

    ⇒2x=84+20

    ⇒x=104/2 = 52