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Two bike riders, x and y both start at 2pm riding towards each other from 40km apart. x rides at 30km an hour, y at 20km an hour. If they meet after t hours, find when and where they meet.

1 comment:

  1. Let the time that x and y travel be t

    x = 30t
    y = 20t

    20t + 30t = 40
    50t = 40
    t = 4/5 hr
    t = 48 mins

    Therefore x = 30 x 4/5
    = 6 x 4
    = 24kms

    Therefore y = 20 x 4/5
    = 4 x 4
    = 16kms

    Therefore - The two cyclists meet at 2:48 pm, 24kms from where x started and 16kms from where y started.

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