Boat A travels upstream from point X to point Y in 2 hours more than the time taken by Boat B to travel downstream from point Z to point Y. The distance between X and Y is 40 km and the distance between Y and Z is 24km. The speed of Boat A in still water is equal to the speed of Boat B downstream. What is the speed of Boat A in still water ? (Consider the speed of the current to be the same.)

  • 20 km/h
  • 10 km/h
  • 12 km/h
  • 14 km/h
  • 8 km/h
  • Explanation:

    Let the speed of the current = x km/h

    Speed of boat B in still water = 10km/h

    Speed of boat B in downstream = x+10

    Speed boat A in still water = x+10

    Speed of boat A in upstream = x+10-x

    = 10km/h

    According to question,

    40/10-24/10+x = 2

    4-24/10+x = 2

    24/10+x = 2

    10+x = 12

    x= 2

    ∴ Speed of boat A in still water = 10+2

    = 12km/h

Boat A travels upstream from point X to point Y in 2 hours more than the time taken by Boat B to tra
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