In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by:

Question: In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by:

[A].

22.75 m

[B].

25 m

[C].

19.5 m

[D].

7	4	m
	7

Answer: Option B

Explanation:

A : B = 200 : 169.

A : C = 200 : 182.

C

=

C

x

A

=

182

x

200

= 182 : 169.

B

A

B

200

169

When C covers 182 m, B covers 169 m.

When C covers 350 m, B covers		169	x 350	m	= 325 m.
		182

Therefore, C beats B by (350 – 325) m = 25 m.