Difficulty: Hard

Average Score: 29%

Which of the following statements is true?

Rationale

Train A traveled at a greater average speed.

This conclusion is based on the provided data indicating that Train A completed its journey in a shorter amount of time compared to Train B, despite any differences in distance. Average speed is calculated as distance divided by time, so a quicker travel time directly correlates to a higher average speed if the distance covered is comparable.

A (Train A traveled at a greater average speed.) CORRECT

Train A's superior average speed is confirmed by its ability to cover its route in less time than Train B. Since average speed is calculated as total distance divided by total time, a shorter travel time with a comparable distance results in a greater average speed for Train A.

B (Train B traveled at a greater average speed.) YOUR ANSWER

This statement contradicts the evidence indicating that Train A completed its journey faster than Train B. Unless Train B traveled a significantly longer distance in a shorter time, which is not suggested, it cannot have a greater average speed than Train A.

C (The two trains traveled at equal average speeds.) YOUR ANSWER

For the two trains to have equal average speeds, they would need to cover the same distance in the same time. The data indicates that Train A was faster, directly disputing the claim of equal average speeds.

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

While this statement acknowledges the possibility of different distances, it overlooks the critical factor of time. Since Train A traveled faster in its journey, it allows for a valid comparison of average speeds, making it possible to determine which train was quicker.

Conclusion

In comparing the average speeds of Train A and Train B, the evidence clearly indicates that Train A traveled at a greater average speed due to its shorter travel time. This analysis highlights the importance of considering both distance and time when evaluating speed, and thus Train A’s performance stands out as superior in this scenario.

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