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CDS Boats & Stream Test 243
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CDS Boats & Stream Test 243

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  • Question 1/5
    1 / -0
    A man rows downstream 32 km and 14 km upstream, and he takes 6 hours to cover each distance. What is the speed of the current?
    Solutions

    Let the speed of man be ,

    And speed of current be

    Downstream speed

    Upstream speed

    From eqn..

  • Question 2/5
    1 / -0
    Two trains started simultaneously from two stations A and B, D km apart and run with speed km/h and km/h  respectively in the same direction. How much distance train started from A has to cover before it overtakes the second train which has started from B?
    Solutions

    Their relative speed = (x-y) km/h

    Time taken to meet each other = D/(x-y) hr

    Required distance travelled at  km/h = Dx/(x-y)km

  • Question 3/5
    1 / -0
    A motor boat, whose speed is 15 km/hour in still water goes 30 km downstream and comes back in a total of 4 hour and 30 minutes. The speed of the stream is:
    Solutions

    Speed of boat in still water = 15 km/hr

    Let speed of stream = x km/hr

    Net speed during downstream = (15 + x) km/hr

    Net speed during upstream = (15 - x) km/hr

    According to question:

    Now rather than solving this complicated equation, we will use options to solve this question.

    Consider option number B

    Put x = 5 km/hr

    ⇒

    So, Speed of the stream = 5 km/hr

  • Question 4/5
    1 / -0
    A boat cover 45km in downstream & 16 km in upstream. Boat takes total 9hr cover this Distance. The time taken to cover 18 km in downstream is equal to time taken by boat to cover 8km in upstream. Find speed(km/h) of boat in still water.
    Solutions

    Let speed of boat in still water=

    Speed of current=

    Net speed of boat in downstream=

    Speed of boat in upstream=

    Now we can write equation as follows

     ……………………………………………(1)

    We can also write an equation using second condition

    ………………………………………………….(2)

    Now we will apply hit and trial & can say that =9 & =4 that satisfy equation no 1

    So =9 & =4

    After solving these equation =6.5

    Speed of boat in still water=6.5 km/hr

  • Question 5/5
    1 / -0
    Speed of a boat during upstream is 11 km/hr & speed of current is 2.5 m/sec. Then find speed(km/hr) of boat during downstream?
    Solutions

     Let speed of boat in still water=

    Speed of current=

    Net speed of boat during downstream=

    Speed of boat during upstream=

    So ……………………………..(1)

    Speed of current==2.5 m/sec= 2.5 × 18/5 = 9 km/hr………………….(2)

    From equation (1) and (2)

    Net speed of boat during downstream== 20+9= 29 km/hr.

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