2052 /www/nrich/html/content/04/weekly/prob3/ 1 2012-09-17T12:30:16 <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0"><p>An athlete covers three consecutive miles by walking the first mile, running the second mile and cycling the third. He runs twice as fast as he walks, and he cycles one and a half times as fast as he runs. He takes ten minutes longer than he would do if he cycled the three miles. How long does he take by walking, running and cycling?</p></mdoxml> <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0"><p>Let the athlete take x minutes to cycle one mile. </p> <p>Therefore he takes 3x/2 minutes to run one mile and 3x minutes to walk one mile. </p> <p>Therefore 3x +3x/2 +x = 3x + 10 i.e. x = 4 The cyclist takes 12 minutes to walk the first mile, 6 minutes to run the second mile and 4 minutes to cycle the third mile, a total time of 22 minutes. </p> </mdoxml> 2 3 0 0 0 0 0