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

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.