In a 100 m event, A defeats B by 25 m and B defeats C by 4 m. By what margin does A defeat C in the same race:________?
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Answer: C. 28 m
Explanation
In a one hundred meter race, A runs the full distance while B runs seventy-five meters. In a separate comparison, B runs one hundred meters while C runs ninety-six meters. Multiplying these proportional ratios together demonstrates that A beats C by twenty-eight meters. Race handicap problems rely on constant speed assumptions to equate different proportional distances. Ratio combination requires multiplying the fractional performance rates of consecutive competitors together. Distance margins in standard races scale linearly with the total length of the running track.
Track coaches analyze runner pacing ratios to predict finishing positions in handicapped relay events. Comparative scaling methods help physicists relate experimental variables across different measurement scales. Solving ratio puzzles sharpens foundational arithmetic skills required for quantitative aptitude tests. Option A ignores the compounding effect of B's advantage over C in the scaled distance. Option B represents an incomplete calculation that fails to properly combine the two independent race ratios. Option D overestimates the final distance deficit by misinterpreting the intermediate runner proportions.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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