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In a 500 m race the ratio of the speeds of two contestants Ajmal and Badal is 3:4 . If Ajmal has a head start of 140 km then Ajmal wins by-

In a 500 m race the ratio of the speeds of two contestants Ajmal and Badal is 3:4 . If Ajmal has a head start of 140 km then Ajmal wins by- Correct Answer 60m

To reach the winning post Ajmal will have to cover a distance of (500 - 140)m = 360 m. While Ajmal covers 3 m, Badal covers 4 m. While Ajmal covers 360 m, Badal covers (4/3×360)m = 480 m. Thus, when Ajmal reaches the winning post, Badal covers 480 m and therefore remains 20 m behind. ∴ Ajmal wins by 20 m. (ans)

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