Question 4

Jasmine will take 92 minutes to run a 13-mile race.

Jasmine's pace for the 3-mile race is 7 minutes per mile, which is 1 minute faster than her pace for the 13-mile race. Therefore, her pace for the 13-mile race would be 8 minutes per mile, resulting in a total time of 92 minutes for the longer race.

A) 34

This option is incorrect because a pace of 34 minutes for a 13-mile race would imply an impossible average speed, far exceeding Jasmine's pace from her 3-mile race, which is already established.

B) 78

Selecting 78 minutes would suggest a pace of approximately 6 minutes per mile for the 13-mile race, which contradicts the information given that her 13-mile pace is slower than her 3-mile pace.

C) 92

This is the correct option as it accurately reflects Jasmine's pacing. After determining her 3-mile pace and knowing it is 1 minute faster than her 13-mile pace, her total time of 92 minutes aligns perfectly with the calculated pace of 8 minutes per mile for the 13-mile distance.

D) 101

This option is incorrect because it suggests a pace that is too slow compared to the established relationship between her 3-mile and 13-mile race times. A total time of 101 minutes would imply a pace of about 7.77 minutes per mile, which does not fit the criteria laid out in the question.

E) 104

This choice is also incorrect as it indicates an even slower pace than what would fit with the established pace for Jasmine's races. A time of 104 minutes would yield an average pace of 8 minutes and 0.31 seconds per mile, which contradicts the stated relationship of her 3-mile and 13-mile paces.

Conclusion

The correct answer of 92 minutes for the 13-mile race is definitively supported by Jasmine's established pace dynamics. All other options fail to accurately reflect the relationship between her race times and paces, demonstrating a misunderstanding of the pacing concept being tested.