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:

Question:
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:

[A].

5.4 m

[B].

4.5 m

[C].

5 m

[D].

6 m

Answer: Option D

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.