# 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:

Answer: Option

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.

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.

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.

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

22.75 is the correct answer.

Rony said:
4 years ago

How C/B=(C/A*A/B) come?

Please explain.

Please explain.

(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.

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?

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