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29 September, 14:20

Solving an Equation for a Rate Problem Stu hiked a trail at an average rate of 3 miles per hour. He ran back on the same trail at an average rate of 5 miles per hour. He traveled for a total of 3 hours. The equation 3t = 5 (3 - t) can be used to find the time it took Stu to hike one way. How long did it take Stu to hike the trail one way?

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  1. 29 September, 14:37
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    Given:

    speed = distance / time

    walking: 3 miles per hour

    running 5 miles per hour

    for a total of 3 hours.

    3t = 5 (3-t)

    3t = 15 - 5t

    3t + 5t = 15

    8t = 15

    t = 15/8

    t = 1 7/8

    7/8 * 60 mins = 52.50 minutes

    t = 1 hour and 52.5 minutes

    It took Stu 1 hour and 52.5 minutes to hike the trail one way.
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