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3 November, 15:06

Eli walk from her house to a friends house in one hour. She can travel the same Distance on her bicycle in 15 minutes. If she rides 6 mph faster than she can walk, What is her speed on the bicycle?

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  1. 3 November, 16:46
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    Answer: her speed on the bicycle is 8 mph

    Step-by-step explanation:

    Let x represent the speed at which she walks. If she rides 6 mph faster than she can walk, then the speed at which she rides is (x + 6) mph

    Distance = speed * time

    Eli walk from her house to a friends house in one hour. This means that the distance covered is 1 * x = x miles.

    Distance on her bicycle in 15 minutes. Converting 15 minutes to hours, it becomes 15/60 = 0.25 hour. Distance covered while riding is 0.25 (x + 6) = 0.25x + 1.5

    Since the distance is the same, then

    x = 0.25x + 1.5

    x - 0.25x = 1.5

    0.75x = 1.5

    x = 1.5/0.75

    x = 2

    her speed on the bicycle is

    x + 6 = 2 + 6 = 8 mph
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