The Handicap

Zachary challenges his brother Alexander to a 100-meter race. Alexander crosses the finish line when Zachary has covered only 97 meters.

The two agree to a second race, and this time Alexander starts 3 meters behind the starting line.

If both brothers run at the same speed as in the first race, who will win?

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Alexander will win again. We know that Alexander covers 100 meters in the time it takes Zachary to cover 97. If Alexander starts 3 meters behind the starting line, then the two brothers will be neck and neck at the 97-meter mark, and Alexander will pull ahead.