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11 November, 14:10

A motorist travels between two towns. It usually takes 6 hours when travelling at a certain speed. He finds that if he reduces his speed by 15 km/hr his journey will take 1 hour more. Find his usual speed.

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  1. 11 November, 14:13
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    His usual speed is 105 km/hr.

    Step-by-step explanation:

    Let his usually speed be s km/hr and the distance between the towns be d km. So we have the equations:

    s = d/6

    s - 15 = d / (6 + 1)

    from the first equation:

    d = 6s and from the second:

    d = 7 (s - 15)

    Eliminating d we get:

    6s = 7 (s - 15)

    7s - 105 = 6s

    s = 105.
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