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?

Question

Mathematics

Ramiro Blanchard

5 July, 14:54

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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Answers (1)

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Kaiya Rocha · Answer 1

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.