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Streams Test - 1

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Streams Test - 1
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Weekly Quiz Competition
  • Question 1
    1 / -0.25

    The current of stream runs at 1 kmph. A motor-boat goes 35 km upstream and back again to the starting point in 12 hours. The speed of the motorboat in still water is:

    Solution

    Hence, the speed of motor boat in still water = 6 kmph.

     

  • Question 2
    1 / -0.25

    A man can row 5 kmph in still water. If the river is running at 1 kmph, it takes him 75 minutes to row to a place and back. How far is the place?

    Solution

     

  • Question 3
    1 / -0.25

    A man can row upstream at 7 kmph and down-stream at 10 kmph. Find man's rate in still waternd the rate of current.

    Solution

    Rate of man in still water = 1/2 (10+7) km/hr

    = 8.5 km/hr

    Rate of current = 1/2 (10-7) km/hr

    = 1.5 km/hr

     

  • Question 4
    1 / -0.25

    A man can row 9 1/3 km/hr in still water and he takes thrice as much time to row up than as to row down the same distance in river. The speed of the current is :

    Solution

     

  • Question 5
    1 / -0.25

    A boat travels upstream from B to A and down-stream from A to B in 3 hours. If the speed of the boat in still water is 9 km/hr and the speed of the current is 3 km/hr, the distance between A and B is :

    Solution

    Let the distance be x km.

    Now, upstream speed = 9-3 = 6 km/hr.

    and downstream speed = 9+ 3 = 12 km/hr

    Total time taken in upstream and downstream journey

     

     

  • Question 6
    1 / -0.25

    A man can row upstream at 8 kmph and downstream at 13 kmph. The speed of the stream is:

    Solution

    Speed of stream = 1/2 (13-8) kmph

    = 2.5 kmph

     

  • Question 7
    1 / -0.25

    A man rows 13 km upstream in 5 hours and also 28 km downstream in 5 hours. The speed of the stream is:

    Solution

    Speed upstream = 13/5 kmph

    Speed downstream = 28/5 kmph

    = 1.5 kmph

     

  • Question 8
    1 / -0.25

    A man can row a boat at 10 kmph in still water. If the speed of the stream is 6 kmph the time taken to row a distance of 80 km down the stream is :

    Solution

    Speed downstream = (10 + 6) km/hr

    = 16 km/hr

    Time taken to cover 80 km downstream

    = (80/16) hrs = 5 hrs
     

  • Question 9
    1 / -0.25

    If a man rows at 6 kmph in still water and 4.5 kmph against the current, then his rate along the current is:

    Solution

    Let the rate of the stream be x kmph.
    Then,
    rate against the current = (6-x) kmph.
    ⇒ 6-x = 4.5
    ⇒ x = 1.5
    So, rate of current = 1.5 kmph
    Rate along the current = 6 +1.5 = 7.5 kmph

     

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