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APMOPS 2011 Question 9

APMOPS · APMOPS 2011

Question 9

Peter and Jane competed in a 5000 m race. Peter’s speed was 4 times that of Jane’s. Jane ran from the beginning to the end, whereas Peter stopped running every now and then. When Jane crossed the finish line, Peter was 100 m behind. Jane ran a total of $x$ m during the time Peter was not running. Find $x$.