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12 September, 10:57

Adam left the science museum and traveled toward the mountains. Krystal left two hours later traveling 28 mph faster in an effort to catch up to him. After three hours Krystal finally caught up. Find Adam's average speed.

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  1. 12 September, 12:20
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    Adam's average speed is 42 mph

    Explanation:

    Let Adam's average speed be x

    Krystal travelled 28 mph faster than Adam

    Therefore, Krystal's average speed is (x + 28) mph

    Krystal left 2 hours after Adam and caught up with him after 3 hours

    Total time taken for Adam to travel a distance d m = 2 hours + 3 hours = 5 hours

    Time taken for Krystal to travel the same distance (catch up with him) = 3 hours

    Average speed = distance/time

    distance = average speed * time

    Since both travelled the same distance

    5 (x) = 3 (x+28)

    5x = 3x + 84

    5x - 3x = 84

    2x = 84

    x = 84/2 = 42 mph

    Adam's average speed is 42 mph
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