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

Frida

Mathematics

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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Belen · 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.