Boats and Streams

Boats and Streams

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Aptitude miscellaneous
  1. A man can row 60 km downstream in 6 hours. If the speed of the current is 3 km/hr, then find in what time will he be able to cover 16 km upstream ?








  1. View Hint View Answer Discuss in Forum

    Downstream speed = 60/6 = 10 km/hr
    Speed of stream = 3 km/hr
    Upstream speed = 10 - (2 x 3) = 4 km/hr

    Correct Option: B

    Downstream speed = 60/6 = 10 km/hr
    Speed of stream = 3 km/hr
    Upstream speed = 10 - (2 x 3) = 4 km/hr
    ∴ Required time = 16/4 = 4 hours.

  1. A boat's man goes 48 km downstream in 8 hours and returns back in 12 hours. Find the speed of the boat in still water and the rate of the stream ?








  1. View Hint View Answer Discuss in Forum

    Rate downstream = 48/8 = 6 km/hr
    Rate upstream = 48/12 = 4 km/hr
    ∴ Speed of boat in still water = (6 + 4)/2 = 5 km/hr
    Rate of stream = (6 -4)/2 = 1 km/h

    Correct Option: A

    Rate downstream = 48/8 = 6 km/hr
    Rate upstream = 48/12 = 4 km/hr
    ∴ Speed of boat in still water = (6 + 4)/2 = 5 km/hr
    Rate of stream = (6 -4)/2 = 1 km/hr

  1. A man can row 44 km downstream in 4 hours. If the man's rowing rate in still water is 8 km/hr, then find in what time will he cover 25 km upstream ?








  1. View Hint View Answer Discuss in Forum

    Man's rate in still water = (man's rate with current + his rate against current)/2

    Correct Option: A

    ∵ Man's rate in still water = (man's rate with current + his rate against current)/2
    ⇒ 8 = 1/2 [ 44/4 + 25/T ]
    ⇒ 16 = 11 + 25/T
    ∴ T = 5 hours

  1. A man can row at 5 km/hr in still water and the velocity of current is 1 km/hr. It takes him 1 hour to row to a place and back. How far is the place ?








  1. View Hint View Answer Discuss in Forum

    Speed downstream = (5 + 1) km/hr = 6 km/hr
    Speed upstream = (5 - 1) km/hr = 4 km/hr
    Let the required distance be d km
    Then, d/6 + d/4 = 1

    Correct Option: B

    Speed downstream = (5 + 1) km/hr = 6 km/hr
    Speed upstream = (5 - 1) km/hr = 4 km/hr
    Let the required distance be d km
    Then, d/6 + d/4 = 1
    ⇒ 2d + 3d = 12
    ∴ d = 2.4 km

  1. A man rows upstream 16 km and downstream 28 km talking 5 hours each time. The velocity of the current is ?








  1. View Hint View Answer Discuss in Forum

    Speed downstream = (28/5) km/hr = 5.6 km/hr
    Speed upstream = (16/5) km/hr = 3.2 km/hr

    Correct Option: B

    Speed downstream = (28/5) km/hr = 5.6 km/hr
    Speed upstream = (16/5) km/hr = 3.2 km/hr
    Velocity of current = (5.6 - 3.2)/2 km/hr = 1.2 km/hr