Aptitude - Races and Games - Discussion

Discussion :: 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:

[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.


Xyz said: (Jun 3, 2011)  
From Where did you get the 200 and 169

Sunita said: (Aug 17, 2011)  
From where 325 came. Multiplication result wrong.

Smritimay said: (Nov 3, 2011)  
A can beat B by 31, then (total distance-A beat B) = 200-31 = 169.

P.Vijaya Kumar said: (May 24, 2012)  
@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.

Sukriti said: (Dec 27, 2013)  
But the race finishes as A covers 350 distance?

Aishi said: (Feb 24, 2015)  
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.

Harsh said: (Mar 12, 2016)  
How did you get @Aishi, C-B = 6? as C-B =13, But anyway answer comes to be 22.75.

Ashish said: (Aug 23, 2016)  
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.

Mir Rokon Uddin said: (Jan 7, 2017)  
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.

Rahul said: (Jul 21, 2017)  
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.

Sravanthi said: (Sep 12, 2017)  
Could you please give me the detailed explanation?

Priya said: (Sep 30, 2018)  
How 169 will come over here? Please explain.

J. Prakash said: (Nov 9, 2018)  
Here 200m - 31m = 169.

Soumya.B said: (Jan 17, 2019)  
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.

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