Boats and Stream questions and answers : Quantitative Aptitude

  • A man can row downstream at the rate of 24 Kmph and upstream at 7 Kmph. Find the man’s rate in still water and rate of current?

    A.) 15.5 Kmph, 8.5 Kmph B.) 17 Kmph, 8.5 Kmph
    C.) 814 Kmph, 7 Kmph D.) None of these
    Answer: Option 'A'

    Rate of still water = 1/2 (down stream + upstream)

    = 1/2 (24 + 7) = 15.5 Kmph

    rate of current = 1/2 (down stream - upstream)

    = 1/2 (24 - 7)
    = 1/2 (17)

    = 8.5 kmph



  • A man can row 24 kmph in still water. It takes him thrice as long to row up as to row down the river. Find the rate of the stream?

    A.) 4 kmph B.) 12 kmph
    C.) 6 kmph D.) 1 kmph
    Answer: Option 'B'

    Let man's rate upsteam be X kmph

    Then his rate of downstream = 3X kmph

    Rate still water = 1/2 (3X + X) = 2X

    2X = 24

    X = 12

    Rate of upstream = 12

    Rate of downstream = 36

    Rate of stream 1/2 ( 36 - 12) = 12 kmph



  • In a stream running at 2 Kmph, a motor boat goes 10 Km upstream and back again to the starting point in 55 minutes. Find the speed of motor boat in still water?

    A.) 18 kmph B.) 22 kmph
    C.) 16 kmph D.) 20 kmph
    Answer: Option 'B'

    Let the speed of motor boat instill water be X kmph

    Then, speed in downstream = (X + 2) km

    and. speed in upstream = (X - 2) kmph

    Time taken to row 10km & back = (10/X+2,10/X-2)

    10/X+2 + 10/X-2 = 55/60

    11X2 - 240X - 44 = 0

    (X - 22)(11x + 2) = 0

    X = 22 or X = -2/11

    Then X = 22 kmph



  • A man rows to a place 48 Km distance and back in 14 hours. He finds that he can row 4 Km with the stream in the same time 3 Km against the stream. The rate off the stream is?

    A.) 1 kmph B.) 2 kmph
    C.) 1.5 kmph D.) None
    Answer: Option 'A'

    Let be moves 4km downstream in X Hours

    Then in speed downstream = Kmph

    Speed in upstream = 4/X Kmph

    ==> 48/4/X + 48/3/X = 14

    ==> 12X + 16X =14

    ==> X = 1/2

    Speed in downstream = 8 Kmph

    Speed in up stream = 6 Kmph

    Then the Rate of stream = 1/2 (8 - 6) = 1 Kmph



  • A man can row 8 Kmph in still water. If the velocity of the current is 2 Kmph and it takes him 2 hours to row to a place and come back. How far is the place?

    A.) 6.5 km B.) 7.5 km
    C.) 7.4 km D.) 6.4 km
    Answer: Option 'B'

    Man's rate down stream = 8 + 2 = 10 kmph

    Man's rate upstream = 8 - 2 = 6 kmph

    Let the required distance be X km

    Then X/10 + X/6 = 2

    3X + 5X = 60

    8X = 60

    X = 7.5 km





Quantitative Aptitude Topics


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