Banking Sample Paper RRB Assistant (PT) Sample Test Paper-1

  • question_answer
    The speed of a boat in still water is 22 kmph and the speed of the stream is 2 kmph. The time taken by the boat to travel from P to Q downstream is 32 minutes less than the time taken by the same boat to travel from Q to R upstream. If the distance between P and Q is 6 km more than the distance between Q and R, what is the distance between P and Q?

    A)  150 km

    B)  100 km

    C)  175 km

    D)  200 km

    E)  250 km

    Correct Answer: B

    Solution :

    Let the distance between Q and R be x km and that between P and Q be (x + 6) km. Then, according to the question, Speed of boat in still water = 22 kmph Speed of stream = 2 kmph \[\therefore \]Downstream speed = 22 + 2 = 24 kmph \[\therefore \]Upstream speed = 22 - 2 = 20 kmph Then,\[\frac{x}{20}-\frac{x+6}{24}=\frac{32}{60}\] or,\[\frac{6x-5x-30}{120}=\frac{8}{15}\] or,\[(x-30)15=960\] or,\[15x=960+450\] or,\[x=\frac{1410}{15}km=94\,\,km\] \[\therefore \]Distance between P and Q = (94 + 6) km = 100 km


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