1. Abibi and Keno run a 10,000-meter race. Abibi runs the first 2,000 meters 16 seconds faster than Keno. If they maintain their pace, how much sooner will Abibi finish?
Answer: C
Abibi will finish 1 minute 20 seconds sooner than Keno.
Abibi's advantage of running the first 2,000 meters 16 seconds faster than Keno translates into a significant time difference over the entire 10,000-meter race, resulting in a finish that is 1 minute 20 seconds earlier than Keno's.
A) 1 min 10 sec
This option is incorrect because it underestimates the time difference created by Abibi's faster pace over the entire race. The calculations based on their paces indicate a greater time advantage than 1 minute 10 seconds.
B) 1 min 15 sec
This option is also incorrect as it does not accurately reflect the total time difference resulting from Abibi's quicker pace. The difference calculated is greater than 1 minute 15 seconds.
C) 1 min 20 sec
This option is correct. Given that Abibi runs the first 2,000 meters 16 seconds faster, maintaining this pace for the remaining distance allows him to finish 1 minute 20 seconds ahead of Keno after completing the full 10,000 meters.
D) 1 min 25 sec
This option is incorrect because it overestimates the time difference. The calculations show that while Abibi has a significant advantage, it does not extend to 1 minute 25 seconds.
Conclusion
The correct answer, 1 minute 20 seconds, reflects Abibi's sustained advantage throughout the race due to his initial faster pace. Other options fail to account for the cumulative effect of the 16-second lead over the entire distance, solidifying option C as the definitive correct choice.