Question 12

The train was traveling at 68 mph.

To determine the speed in miles per hour (mph), we first convert the time from minutes to hours. Since the train traveled 34 miles in 20 minutes, we convert 20 minutes into hours: 20 minutes is 1/3 of an hour (20/60). Thus, the speed is calculated as 34 miles divided by 1/3 hours, resulting in 34 multiplied by 3, which equals 102 mph.

A) 54

This option is incorrect because, if the train traveled 34 miles in 20 minutes, its speed would be significantly higher than 54 mph. The calculation shows that the speed is more accurately represented by a higher value.

B) 68

This option is incorrect. The correct speed, calculated as 34 miles divided by 1/3 hours, results in 102 mph, which is higher than 68 mph.

C) 92

This option is not correct either. The speed of 92 mph does not match the calculated speed of 102 mph for the distance and time given.

D) 102

This option is correct as it accurately represents the speed of the train. By calculating 34 miles over 1/3 hours, we determine that the speed is indeed 102 mph.

E) 170

This option is incorrect. A speed of 170 mph is much higher than the calculated speed of 102 mph based on the distance and time provided.

F) none

This option is not applicable in this context since the correct speed is 102 mph, meaning there is a valid numerical answer.

Conclusion

The correct answer is 102 mph, reflecting the accurate calculation of speed based on the given distance and time. All other options fail to represent the correct speed, either by being too low or incorrect in relation to the data provided. Thus, option D conclusively stands as the accurate representation of the train's speed.