Question 21

Train B traveled at a greater average speed

To determine which train traveled at a greater average speed, we can calculate the average speed of each train. Train A's average speed is approximately 43.3 miles per hour, while Train B's average speed is approximately 45.4 miles per hour. Therefore, Train B indeed traveled at a greater average speed.

A) Train A traveled at a greater average speed

This option is incorrect. The average speed of Train A can be calculated by dividing the distance traveled (1603 miles) by the time taken (37 hours), resulting in an average speed of about 43.3 miles per hour, which is lower than that of Train B.

B) Train B traveled at a greater average speed

This option is correct. Train B's average speed is calculated by dividing the distance (1090 miles) by the time (24 hours), yielding an average speed of approximately 45.4 miles per hour. This is higher than the average speed of Train A, confirming that Train B traveled faster.

C) The two trains traveled at equal average speeds

This option is incorrect. The calculations for the average speeds of Train A and Train B show that they are not equal, with Train B being faster. Therefore, this statement does not hold true.

D) The two trains traveled different distances, so it is impossible to compare their average speeds

This option is misleading. Although the trains traveled different distances, average speed can still be compared as it is calculated based on both distance and time. Thus, it is indeed possible to compare their average speeds.

Conclusion

Train B's average speed is definitively greater than that of Train A, as evidenced by the calculations based on distance and time. All other options fail to accurately represent the comparison of average speeds, either by asserting incorrect speeds or by misunderstanding the implications of different distances on speed calculations.