Two trucks leave a warehouse at the same time. One travels due north at an average speed of 48 miles per hour, and the other travels due south at an average speed of 49 miles per hour. After how many hours will the two trucks be 339.5 miles apart?

The two trucks will be 339.5 miles apart after 3.5 hours.

Explanation:

Let x =Time taken(in hours) by both trucks when they 339.5 miles apart.

Distance = Speed x Time

Distance traveled to North = 48x miles

Distance traveled to South = 49x miles

Total distance = 48x+49x = 97x miles = 339.5 miles  [given]

Hence, the two trucks will be 339.5 miles apart after 3.5 hours.