Question

Gary can hike on level ground 3 miles per hour faster than he can on uphill terrain. Yesterday, Gary hiked 10.25 miles, spending 3 hours on level ground and 2 hours on uphill terrain. What is Gary's average hiking speed on level ground

Answer 1

13.14

Explanation:

2s + 5(s-3) = 31

2s + 5s - 15 = 31

7s = 31 + 15

7s = 46

s = 46/7

s ~ 6.57 mph on level ground

Check this by finding the distances

2(6.57) = 13.14 mi