Allen, Brad and Cook participate in a relay race of 1500 m. Allen can beat Brad by 200 m. In another race of 2000 m, Brad can beat Cook by 300 m. Find out the distance by which Allen can beat Cook in a race of 1000 m.
Solution: According to the question,
Ratio of the speed of Allen to that of Brad = 15 : 13 (1500 : 1300)Ratio of the speed of Brad to that of Cook = 20 : 17 (2000 : 1700)
Ratio of the speed of Allen to that of Cook = 300 : 221
If in a race of 300 m, Allen beats Cook by 79 m (300 – 221), then in a race of 1000 m, Allen can beat Cook by a distance of 263 m (
) approximately.
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