Question

Adrian started biking to the mall traveling 13 mph, after some time the bike got a flat so Adrian walked the rest of the way, traveling 3 mph. If the total trip to the mall took 9 hours and it was 87 miles away, how long did Adrian travel at each speed?

_____ hours at 3 mph

_____ hours at 13 mph

Answer 1

Explanation:

Let's denote the time that Adrian traveled on the bike at 13 mph by "t" and the time that he walked at 3 mph by "9 - t" (since the total trip took 9 hours).

Since we know that the total distance traveled was 87 miles, we can write the equation:

distance traveled on bike + distance traveled walking = 87

Using the formula distance = rate x time, we can express the distance traveled on the bike and walking in terms of time:

13t + 3(9 - t) = 87

Simplifying this equation:

13t + 27 - 3t = 87

10t = 60

t = 6

Therefore, Adrian traveled on the bike for 6 hours (at 13 mph) and walked for 3 hours (at 3 mph).