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14 February, 21:52

Two boys, Shawn and Curtis, went for a walk. Shawn began walking 20 seconds earlier than Curtis. Shawn walked at a speed of 5 feet per second. Curtis walked at a speed of 6 feet per second. For how many seconds had Sean been walking at the moment on the two boys had walked exactly the same distance?

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  1. 14 February, 22:40
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    Distance = speed * time

    for curtis d = st = 6t (where t is the time that he walks)

    sean walks 20 seconds longer than curtis so we have the equation

    d = s (t+20) = 5 (t+20)

    as the distances are the same we have

    So sean has walked 100+20 = 2

    6t = 5 (t+20)

    6t = 5t + 100

    t = 100

    so Sean walks 120 seconds when they had both walked the same distance.
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