Boat A travels downstream from Point X to Point Y in 3 hours less than the time taken by Boat B to travel upstream from Point Y to Point Z. The distance between X and Y is 20 km, which is half of the distance between Y and Z. The speed of Boat B in still water is equal to the speed of Boat B upstream. What is the speed of Boat. A in still water

    (Consider the speed of the current to be the same.)

  • 10 km/h
  • 16 km/h
  • 12 km/h
  • 8 km/h
  • 15 km/h
  • Explanation:

    Let the speed of current = x km/h

    Speed of Boat B upstream=(10-x) km/h

    speed of Boat A downstream = (10-x+x) km/h

    =10 km/h

    According to question,

    40/10-x-20/10=3

    40/10-x=5

    50-5x=40

    5x=10

    x=2 km/h

    ∴ Speed of Boat A in still water = (10-x)

    =10-2

    =8 km/h

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