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In a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by:

5.4m
4.5m
5m
6m

Correct Answer: 6m

Explanation:

A : B = 100 : 90.

A : C = 100 : 87.

B/C = (B/A*A/C) = (90/100*100/87) = 30/29

When B runs 30 m, C runs 29 m.

When B runs 180 m, C runs (29/30*180)m =174m

B beats C by (180 - 174) m = 6 m.

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