Question
In a 100 m race , A beat B by 10 m and C by 13 m. In a race of 180 m, B will beat C by :
Answer: Option D
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A : B = 100 : 90 and A : C = 100 : 87
`B/C = B/A xx A/C = 90/100 xx 100/87 = 30/29`
When B runs 30 m, C runs 29 m.
When B runs 180 m , C runs `(29/30 xx 180)`m = 174 m
`:.` B beats C by (180 - 174) m = 6 m.
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