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    Kim and Om are travelling from point A to B, which are 400 km apart. Travelling at a certain speed Kim takes one hour more than Om to reach point B. If Kim doubles her speed she will take 1 hour 30 min less than Om to reach point B. At what speed was Om driving from Point A to B

  • 90 km/h
  • 70 km/h
  • 160 km/h
  • 80 km/h
  • 100 km/h
  • Explanation:

    Let speed of Kim = x km/h

    Speed of Om = y km/h

    According to question,

    400/x-400/y=1

    1/x-1/y=1/400                 .....(i)

    When Kim doubles her speed,

    400/y-400/2x=3/2

    1/y-1/2x=1/400×3/2        .....(ii)

    On solving equations (i) and (ii),

    x=80 km/h

    Putting the value of x in equation (i),

    1/y=1/80-1/400=5-1/400=1/100

    y=100 km/h


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