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?
Abibi will finish 1 min 20 sec sooner than Keno.
Since Abibi runs the first 2,000 meters 16 seconds faster than Keno, this time advantage will be compounded over the remaining distance of the race, allowing us to calculate the total time difference by considering their paces for the entire 10,000 meters.
This choice suggests that Abibi finishes only 70 seconds sooner than Keno. However, given that Abibi's initial time advantage of 16 seconds over 2,000 meters would significantly influence the overall finishing time, this estimate underrepresents the total time difference that accumulates over the longer distance of the race.
While 75 seconds might seem plausible, this option still does not account for the total impact of Abibi's 16-second advantage over the remaining 8,000 meters. The time difference due to their respective paces would lead to a larger discrepancy than what this choice suggests, indicating a miscalculation of the finishing times.
This choice accurately reflects the total time advantage Abibi has over Keno. By maintaining their respective paces, the initial 16 seconds gained over the first 2,000 meters extends proportionally to the remaining distance, resulting in a total difference of 80 seconds (or 1 min 20 sec).
This option proposes a 85-second advantage for Abibi, which overestimates the time difference. The calculations based on their speeds and the initial 16-second advantage do not support such an outcome, as the time difference would not accumulate to this extent over the race.
The correct time difference of 1 min 20 sec arises from Abibi's initial advantage of 16 seconds, which accumulates over the entire distance of the race, emphasizing how even small differences in early performance can substantially affect overall outcomes. Therefore, Abibi finishes significantly ahead of Keno, completing the race with a clear advantage.
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