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In a 1 km race A beats B by 100 m. By what percent must B increase his speed to beat A by 100 m in the next 1 km race, if A keeps the same speed?

Competition practiceRaces & Circular Tracks
  • A23 37/81%
  • B20%
  • C11 1/9%
  • D22 2/9%

Step-by-Step Solution

B's speed is now 0.9 of A's. To beat A by 100 m, B must run 1000 m while A runs 900 m: B needs of A's speed. Increase . (20% just doubles the 10% gap.)
Answer: A) 23 37/81%

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