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 a

Question

3 years ago

15

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 a

t 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?

Mathematics

2 answers:

ohaa [14] · Answer 1 · 2022-01-08T07:43:41+03:00

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.

Dafna11 [192] · Answer 2 · 2022-01-08T10:10:39+03:00

Dafna11 [192]3 years ago

5 0

Answer:

It's B (3t = 5(3 – t))

Step-by-step explanation: