42. Jasmine's pace for a 3-mile race is 1 minute per mile faster than her pace for a 13-mile race. She ran the 3-mile race in 21 minutes. How many minutes will it take her to run the 13-mile race?
Answer: E
Jasmine will take 104 minutes to run the 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 is 8 minutes per mile, leading to a total time of 104 minutes for the race.
A) 34
This option is incorrect because a pace of 34 minutes for a 13-mile race would imply an average of approximately 2.6 minutes per mile, which is unrealistically fast for a long-distance race.
B) 78
This option is incorrect as well. A total time of 78 minutes would mean Jasmine averaged about 6 minutes per mile for the 13-mile race, which contradicts the information given about her faster pace for the shorter race.
C) 92
This choice is incorrect because it suggests an average pace of approximately 7.08 minutes per mile for the 13-mile race. This is still faster than her pace for the 3-mile race, which is not consistent with the problem statement.
D) 101
This option is also incorrect. If Jasmine were to run the 13-mile race in 101 minutes, her pace would be about 7.77 minutes per mile, which is still faster than her established pace for the 3-mile race.
E) 104
This is the correct option. Jasmine's pace for the 13-mile race is calculated to be 8 minutes per mile, given that she is 1 minute slower than her pace for the 3-mile race. Therefore, for 13 miles, the total time would indeed be 13 miles multiplied by 8 minutes per mile, resulting in 104 minutes.
Conclusion
The correct answer of 104 minutes aligns perfectly with the pace calculations based on the information provided about Jasmine's performance in both races. All other options fail to adhere to the established pacing relationship, resulting in inconsistent or unrealistic time estimates for the 13-mile race.