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IMSO 2008 Mathematics Contest in Taiwan – Short Answer Question 8

IMSO Maths · IMSO 2008 Mathematics Contest in Taiwan – Short Answer

Question 8

Catriona would like to become an Olympic sprinter. Her younger sister Morag would rather play football, but helps Catriona by racing against her. In a 100-metre dash, Catriona crossed the winning line when Morag was still 20 metres short of it. For a greater challenge, Catriona agreed to start 20 metres behind the normal starting line. Both ran at exactly the same speeds as in the first race. Where was Morag when Catriona crossed the winning line?