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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:

5.4 m
4.5 m
5 m
6 m

Correct Answer: 6 m

Explanation:

A : B = 100 : 90.

A : C = 100 : 87.

B	=	B	x	A	=	90	x	100	=	30	.
C		A		C		100		87		29

When B runs 30 m, C runs 29 m.

When B runs 180 m, C runs	❨	29	x 180	❩m	= 174 m.
		30

∴ B beats C by (180 - 174) m = 6 m.

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