Boats and Streams

Boats and Streams

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Aptitude miscellaneous
  1. The speed of boat upstream and speed of boat downstream are 7 km/h and 13 km/h, respectively. Then the speed of stream and the speed of boat in still water is ?








  1. View Hint View Answer Discuss in Forum

    Rate in still water=[(1/2)(u+v)] km/h
    Rate of current=[(1/2)(u-v)] km/h
    where u= speed of boat in downstream
    v=speed of boat in upstream

    Correct Option: A

    Rate in still water=[(1/2)(u+v)] km/h
    Rate of current=[(1/2)(u-v)] km/h
    where u= speed of boat in downstream
    v=speed of boat in upstream

    Speed of boat in still water=[(1/2)(7+13)] =10 km/h
    Speed of the stream =[(1/2)(13-7)]=3 km/h

  1. A man rows upstream 16 km and downstream 27 km talking 5 hours each time. What is the velocity of current ?








  1. View Hint View Answer Discuss in Forum

    ∵ Man's rate upstream = 16/5 km/hr
    Man's rate downstream = 27/5 km/hr

    Correct Option: C

    Man's rate upstream = 16/5 km/hr
    Man's rate downstream = 27/5 km/hr

    ∴ Velocity of the current = (27/5 - 16/5)/2 km/hr = 1.1 km/hr

  1. If a man rows at the rate of 5 km/hr in still water and his rate against the current is 3.5 km/hr, then the man's rate along the current is ?








  1. View Hint View Answer Discuss in Forum

    Speed of current = 5 - 3.5 = 1.5 km/hr
    Man's speed along the current = Man speed in still water + speed of current.

    Correct Option: B

    Speed of current = 5 - 3.5 = 1.5 km/hr
    Man's speed along the current = Man speed in still water + speed of current.
    ⇒ Man's speed along the current = 5 + 1.5 = 6.5 km/hr

  1. The speed of a boat in still water is 12 km per hour. Going downstream it moves at the rate of 19 km per hour. The speed of the boat against the stream is ?








  1. View Hint View Answer Discuss in Forum

    Speed of stream = speed in downstream - Speed in still water
    ⇒ Speed of stream = 19 - 12 = 7 km/hr

    Speed of boat against stream = Speed in still water - Speed of stream.
    ⇒ Speed of boat against stream = 12 - 7 = 5 km/hr

    Correct Option: A

    Speed of stream = speed in downstream - Speed in still water
    ⇒ Speed of stream = 19 - 12 = 7 km/hr

    Speed of boat against stream = Speed in still water - Speed of stream.
    ⇒ Speed of boat against stream = 12 - 7 = 5 km/hr

  1. The speed of a boat in still water is 10 km/hr. If its speed down stream be 13 km/hr, then speed of the stream is ?








  1. View Hint View Answer Discuss in Forum

    Speed in still water + Speed of stream = Speed in downstream.
    ⇒ 10 + y = 13

    Correct Option: B

    Speed in still water + Speed of stream = Speed in downstream.
    ⇒ 10 + y = 13
    ∴ y = 13 - 10 = 3 km/hr