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SSC - Boat and Stream Test-1
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SSC - Boat and Stream Test-1

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  • Question 1/7
    1 / -0

    The speed of a boat in still water in 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 12 minutes is how much?

    Solutions

    Speed downstream = (15 + 3) kmph = 18 kmph

    Distance travelled = 18 x (12/60) = 3.6 km

  • Question 2/7
    1 / -0

    A man can row 4.5 km/h in still water and he finds that it makes him twice as long to row up as to row down the river. Find the rate of stream.

    Solutions

    let rate of boat in still water is x and rate of stream is y.
    Given , x = 4.5 km /h
    then downstream rate = x+y = 4.5+y
    upstream rate = x-y = 4.5-y
    time of upstream = 2 (time of downstream)
    1/(4.5-y) = 2/(4.5+y)
    3y = 4.5
    y = 1.5 km/h

  • Question 3/7
    1 / -0

    A man can row 6km/h in the still water. If the river is flowing at the speed of 2 km/h, it takes him 3 hours to row to a place and back. How far is the place?

    Solutions

  • Question 4/7
    1 / -0

    A boat rows 10 km upstream and back again to the starting point in 55 minutes. If the speed of stream is 2km/h, find the speed of boat  in still water.

    Solutions

    Let the speed of the motorboat in still water be x kmph. Then,
    Speed downstream = (x + 2) kmph; Speed upstream = (x - 2) kmph.
    10/(x+2)+10/(x−2) = 55/60
    1/(x+2)+1/(x−2) = 11/120
    (x-2+x+2)/(x2-4) = 11/120
    2x/(x2-4) = 11/120
    (x2-4)*11 = 240x
    11x2 - 240x - 44 = 0
    11x2 - 242x - 2x - 44 = 0
    (x - 22) (11x + 2) = 0
    x = 22.

    Hence, speed of motorboat in still water = 22 kmph

  • Question 5/7
    1 / -0

    A motor boat can travel at 10km/h in still water. It travelled 91 km downstream in a river and then returned, taking altogether 20 hours. Find the rate of flow of river.

    Solutions

    Motor boat speed in still water (x) = 10 km/h 

    Let, the rate of flow of river =y, then 

    Total journey time T= 20h 

    Hence, we get 

  • Question 6/7
    1 / -0

    A boat can row a distance of 6 km upstream in 3 hours when the speed of stream is 0.5 km/hr. what is the speed of the boat in still water?

    Solutions

    Speed of the boat upstream 
    (x – y )= 6/3 = 2 km/h 
    Here speed of the boat in still water be x km/h and speed of stream be y km/h 
    X – Y =2 
    Y = 0.5 km/h 
    X = 2+0.5 = 2.5 km/h 
    By short –cut method: 

  • Question 7/7
    1 / -0

    A swimmer covers a distance of 20km against the current and 30 km in the direction of current. If in each case he takes 5 hours, what is the speed of the current?

    Solutions

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