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6 November, 22:33

Ryan left the science museum and drove south. Gabriella left three hours later driving 42 km/h faster in an effort to catch up to him. After two hours Gabriella finally caught up. Find Ryan's average speed.

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  1. 6 November, 22:36
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    Answer:Ryan's average speed is 28km/h

    Step-by-step explanation:

    Let x represent the average speed of Ryan. If Gabriella drove 42 km/h faster in an effort to catch up to Ryan, It means that Gabriella's speed is x + 42

    At the time that Gabriella finally caught up with Ryan, both of them would have travelled equal distances.

    Distance travelled = speed * time

    time = distance / speed.

    If Gabriella left three hours later and caught up with Ryan in two hours time, it means that total time spent by Ryan is 3+2 = 5 hours

    Total distance covered by Ryan would be

    x * 5 = 5x km

    Total distance covered by Gabriella would be

    2 (x + 42) = 2x + 84

    Since both of them cover equal distances, therefore,

    5x = 2x + 84

    5x - 2x = 84

    3x = 84

    x = 84/3 = 28 km/h
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