Aptitude - Races and Games - Discussion

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"Everyone is wise until he speaks."

- (Proverb)

In a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by:

[A].	5.4 m	[B].	4.5 m
[C].	5 m	[D].	6 m

Answer: Option C

Explanation:

A : B = 100 : 90.

A : C = 100 : 87.

B = B x A = 90 x 100 = 30 .

C A C 100 87 29

When B runs 30 m, C runs 29 m.

When B runs 180 m, C runs 29 x 180 m = 174 m.

30

B beats C by (180 - 174) m = 6 m.

Tarun Gupta said: (Sat, Oct 8, 2011 11:49:56 PM)

I am getting 5.4 as answer. Please help. if A runs 180 then b runs 162 (90180/100) if A runs 180 then C runs 156.6(87180/100) Difference=5.4 What is wrong in my approach. Help ?

Rohit said: (Sat, Feb 11, 2012 07:29:52 PM)

Hi friends i got the simple method when A complete 100 m then B (100-10)=90 and c (100-13)=87 they ask in 180m race B beat c means if B covers 180 which is twice of 90 then C will reach 87*2 = 174 180-174=6