# Aptitude - Races and Games - Discussion

Discussion Forum : Races and Games - General Questions (Q.No. 6)
6.
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:
22.75 m
25 m
19.5 m
 7 4 m 7
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.

Discussion:
20 comments Page 1 of 2.

Satyaki said:   2 years ago
22.75 is the correct answer solving by speed distance time method.
(2)

Harshit Lohia said:   3 years ago
A beats B by 31m, for this A should be at the finishing line (200m) so B distance from starting line is 169 m.

Similarly distance of C from starting line when A is at finishing line = 182m.

So, when C covers 182 m, B covers 169 m.
So
182m C---------------- 169 m B.
1m C---------------169/182m B.
350m C----------------169/182* 350m = 325 m.
So, B covers 325 m when C covers 350 m.
So, the distance between them is 350 - 325 = 25 m.

Vikas lodhi said:   3 years ago
@ALl

31m means 31 meters NOT 31 minutes.

If 31m is metres than answer is 25 meters.

Utkarsh said:   4 years ago
@All.

In 1st race, though it is 200m C covers only 182m as A wins but in 2nd race A is not there, the race is between C and B only. So if C covers 182m then B only covers 169m.

(According to race 1) but now C covers 350m so the distance covered by B = (169/182)*350 ie.325m.

Hence, in 2nd race C-B = 350-325 = 25m.

Ritvik said:   4 years ago

Rony said:   4 years ago
How C/B=(C/A*A/B) come?
(1)

Soumya.b said:   5 years ago
A : B = 200 : 169.
A : C = 200 : 182.
C/B = (C/A*A/B) = (182/200*200/169) = 182:169.
When C covers 182 m, B covers 169 m.
When C covers 350 m, B covers (169/180*350)m = 325 m,
Therefore, C beats B by (350 - 325) m = 25 m.

J. Prakash said:   5 years ago
Here 200m - 31m = 169.

Priya said:   6 years ago
How 169 will come over here? Please explain.

Sravanthi said:   7 years ago
Could you please give me the detailed explanation?