A train travels from Town A to Town B and back to Town A. The trip from Town A to Town B takes 2 hours, while the return trip takes 3 hours due to an increase in wind resistance. What is the average speed of the entire round trip?
To find the average speed of the entire round trip, we need to use the formula: Average Speed = Total Distance / Total Time

Here's the logic behind this:

1. Let's assume the distance between Town A and Town B is D miles.
2. On the way to Town B, the train takes 2 hours, so its speed is D/2 miles per hour.
3. On the return trip, the train takes 3 hours, so its speed is D/3 miles per hour.
4. The total distance traveled during the round trip is 2D miles (D miles to Town B and D miles back to Town A).
5. The total time taken for the round trip is 2 + 3 = 5 hours.
6. Using the formula for average speed, we get: Average Speed = (2D) / 5
7. Since we don't have actual values for the distance, we cannot calculate the exact average speed. However, we now have a formula to find the average speed if we know the distance between Town A and Town B.