Caitlyn started biking to the mall traveling 14 mph, after some time the bike got a flat so Caitlyn walked the rest of the way, traveling 7 mph. If the total trip to the mall took 7 hours and it was 70 miles away, how long did Caitlyn travel at each speed?

Answer: Caitlyn spent 3 hours biking and 4 hours walking to the mall.

Step-by-step explanation:

Let t represent the time that Caitlyn spent biking to the mall, traveling 14 mph.

Distance = speed * time

Distance covered on his way to the mall is

14 * t = 14t.

If the total trip to the mall took 7 hours, it means that the time spent by Caitlyn in walking the rest of the way, traveling 7 mph would be (7 - t) hours. Distance covered by walking is

7 (7 - t)

The total trip was 70 miles. It means that

14t + 7 (7 - t) = 70

14t + 49 - 7t = 70

14t - 7t = 70 - 49

7t = 21

t = 21/7 = 3 hours

Caitlyn spent 3 hours biking to the mall.

Caitlyn spent 7 - 3 = 4 hours walking to the mall.