ArithmeticA streamer goes downstream from one port to another in 6 hours. It covers the same distance upstream in 8 hours. If the speed of the stream in 3 km / hr, then the distance between the two ports is?           

A streamer goes downstream from one port to another in 6 hours. It covers the same distance upstream in 8 hours. If the speed of the stream in 3 km / hr, then the distance between the two ports is?           

  1. A

    155

  2. B

    144

  3. C

    133

  4. D

    166

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    Solution:

    Solution: Let the speed of  steamer in still water is x km/h

    Now,

    Speed of  steamer in downstream is (x + 3) km/hr

    So, distance =(x+3)×6km

    =(6x+18)km

    Speed of  steamer in upstream is (x – 3) km/hr

    So, distance  =(x3)×8km

    =(8x24)km

    Speed of  boat 

    6x+18=8x24

    6x8x=1824

    2x=42

    x=21km/hr

      Distance=(6x+18)  km

    =(6×21+18)

    =144km

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