Answer:
The answer to your question is speed when skating = 6 mi/h; when walking = 2.4 mi/h
Explanation:
Data
Total time = 1:30 h
total distance = 6.3 mi
time in skateboard = 2:15 - 1:30 = 45 min
time walking = 3:00 - 2:15 = 45 min
Speed skating is 2.5 faster than walking
Process
1.- Let x be the speed when walking
speed when skating = 2.5x
2.- Use the formula of velocity to find x
Walking x = d1/t or d1 = xt
Skating 2.5x = d2/t or d2 = 2.5xt
Total distance = d1 + d2 = 6.3
xt + 2.5xt = 6.3
- Solve for x 3/4x + 2.5(3/4)x = 6.3
-Simplification 3/4x + 15/8x = 6.3
21/8x = 6.3
x = 2.4
3.- Find the speed when skating
Speed when skating = 2.5(2.4)
= 6