# 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.
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.

P.Vijaya kumar said:
1 decade ago

@Sunita.

Eg: Assume A's speed is twice than B...if A reached 100 km ,that time B reached only 50km.

Ratio of A:B=2:1

In 300 km race ,B reached only 150km,when A reach the goal.

How is it possible:

B's distance when a reached the goal=(1/2)*300=150

Are u agree that.

Same as the ratio of A:B =182:169

So B's distance=(169/182)*350=325...

I think is correct.If any flaw is there,please correct me.

Eg: Assume A's speed is twice than B...if A reached 100 km ,that time B reached only 50km.

Ratio of A:B=2:1

In 300 km race ,B reached only 150km,when A reach the goal.

How is it possible:

B's distance when a reached the goal=(1/2)*300=150

Are u agree that.

Same as the ratio of A:B =182:169

So B's distance=(169/182)*350=325...

I think is correct.If any flaw is there,please correct me.

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.

Ashish said:
8 years ago

As A -> 200.

B -> 200 - 31 = 169.

C -> 200 - 18 = 182.

If C covers 182m then B covers 169m so the ratio is B : C = 169 : 182.

As in 350m, let the distance be x then,

200/(182 - 169) = 350/x,

x = 91/4,

x = 22.75.

B -> 200 - 31 = 169.

C -> 200 - 18 = 182.

If C covers 182m then B covers 169m so the ratio is B : C = 169 : 182.

As in 350m, let the distance be x then,

200/(182 - 169) = 350/x,

x = 91/4,

x = 22.75.

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.

Rahul said:
7 years ago

The distance between C and B is 13 m when C is at distance 182 m (C is 18 m behind A and A has finished 200 m).

Therefore, its 13 m for 182 m race.

(13/182) * 350 for 350 m race = 25 m.

Therefore, its 13 m for 182 m race.

(13/182) * 350 for 350 m race = 25 m.

Aishi said:
9 years ago

A-B = 31 since A beats B by 31 m.

A-C = 18 since A beats C by 18 m.

So C-B = 6 i.e C beats B by 6 m when rate is 200 m.

So when race is 350 m it should be (6/200)*350 = 22.75 m.

A-C = 18 since A beats C by 18 m.

So C-B = 6 i.e C beats B by 6 m when rate is 200 m.

So when race is 350 m it should be (6/200)*350 = 22.75 m.

Mir Rokon Uddin said:
7 years ago

200 - 31=169,

2000 -18 = 182,

If C goes 182 then B goes 169.

So if C goes 350 then B goes 325.

So C will beat B by (350-325) = 25m.

2000 -18 = 182,

If C goes 182 then B goes 169.

So if C goes 350 then B goes 325.

So C will beat B by (350-325) = 25m.

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.

Harsh said:
8 years ago

How did you get @Aishi, C-B = 6? as C-B =13, But anyway answer comes to be 22.75.

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