Final answer:
Jennifer traveled to the bookstore for 3 hours at 4 mph and returned home in 2 hours at 6 mph.
Step-by-step explanation:
Jennifer went to the bookstore traveling 4 mph and returned home traveling 6 mph. If the trip took 5 hours in total, we need to determine how long Jennifer traveled at each speed. To solve this, we can use the concept of time, distance, and speed.
Let t be the time Jennifer spent traveling to the bookstore at 4 mph. Since the total time for the round trip is 5 hours, the time taken to return home at 6 mph would be 5 - t hours.
Calculating Distance
Distance to the bookstore = 4 mph × t = 4t miles
Distance returning home = 6 mph × (5 - t) = 30 - 6t miles
Because Jennifer ended up at home, the distances for both parts of the trip must be equal:
4t = 30 - 6t
4t + 6t = 30
10t = 30
t = 3
Therefore, the time she spent traveling to the bookstore was 3 hours and the time spent returning home was 2 hours.