Answer: Kyle travelled 3 hours at 12 mph.
Kyle travelled 6 hours at 2 mph.
Step-by-step explanation:
Let x represent the time that Kyle spent biking.
Let y represent the time that Kyle spent walking.
If the total trip to the restaurant took 9 hours, it means that
x + y = 9
Distance = speed × time
Kylie started biking to the restaurant traveling 12 mph. Distance covered while biking would be
12x
Kylie walked the rest of the way, traveling 2 mph. Distance covered while walking would be
2y
The trip was 48 miles. This means that
12x + 2y = 48 - - - - - - - - - - -- -1
Substituting x = 9 - y into equation 1, it becomes
12(9 - y) + 2y = 48
108 - 12y + 2y = 48
- 12y + 2y = 48 - 108
- 10y = - 60
y = - 60/-10
y = 6
x = 9 - y = 9 - 6
x = 3
