Question

Two trucks leave a warehouse at the same time. One travels due south at an average speed of 49 miles per hour, and the other travels due north at

an average speed of 62 miles per hour. After how many hours will the two trucks be 277.5 miles apart

Answer 1

2.5hrs

Explanation:

We can start solving the problem by using the formula: distance = rate x time. If we call the time t in hours, we can write two equations:

49t = distance for the truck going south

62t = distance for the truck going north

We also know that the distance between the two trucks is the sum of the distances they have traveled, so:

distance = 49t + 62t = 111t

Now we can use the given information that the distance between the two trucks is 277.5 miles to find the value of t:

277.5 = 111t

t = 277.5 / 111

So the two trucks will be 277.5 miles apart after t = 2.5 hours.