Question

Kevin drove from A to B at a constant speed of 60 mph, turned immediately around, and returned at a constant speed of 80 mph. Exactly 4 hours before the end of his trip, he was still approaching B, only 15 miles away from it. What is the distance between A and B?

Answer 1

Answer: The distance between A and B is 300 miles.

Step-by-step explanation:

Hi, to solve this problem we have to analyze the information given.

We know that when he was 15 miles away from point B, he was traveling at 60mph. if we apply the formula : time= distance /speed;

• Time: 15 miles / 60 miles per hour = 1/4 hour (15 minutes).

So, he traveled that distance in 15 minutes.

That means that he returned to point A in 3.75 hours (4 hours -15minutes) at a speed of 80 mph.

Applying the formula again to calculate the distance:

• Distance: time x speed: 3.75 hours x 80 mph = 300 miles