Tim and Mia have 8 hours to spend on a mountain hike. They can walk up the trail at an average of 2mph and can walk down at an average of 3 mph. How long should they plan to hike uphill before turning around?

4.8 hours

Step-by-step explanation:

Let the time taken to hike uphill be T

Let the time taken taken to hike downhill = 8 - T

The average speed of walking up = 2 mph

Average speed of walking down = 3mph

Distance hiked uphill = Distance hiked downhill

Speed = distance / time

Distance = Speed * Time

2T = 3 (8 - T)

2T = 24 - 3T

2T + 3T = 24

5T = 24

T = 24/5

T = 4.8 hours

Time taken to hike uphill = 4.8hours