From point A to point B the car drove at a speed of 40 km / h, and back the car traveled

From point A to point B the car drove at a speed of 40 km / h, and back the car traveled this distance at a speed of 60 km / h. What is the average speed all the way?

To solve this problem, let us denote the distance between points A and B as an integer equal to 1.

In this case, on the path between A and B, the car spent:

1/40 = 1/40 of the time.

On the way back, the car spent:

1/60 = 1/60 of the time.

The total distance covered by the car will be equal to:

1 * 2 = 2.

The total time that he spent on the entire journey was:

1/40 + 1/60 = (common denominator 120) = 3/120 + 2/120 = 5/120 = 1/24.

From this it follows that the average vehicle speed was:

2 / 1/24 = 2 * 24/1 = 48 km / h.

Answer: 48 km / h.