In a race of 500 m, A can beat B by 30 m and C by 20 m. In a race of 1200 m, C will beat B by:

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26 Dec 2018 Race

In a race of 500 m, A can beat B by 30 m and C by 20 m. In a race of 1200 m, C will beat B by:

OPtion

1) 75
2) 25
3) 100
4) 10
5) 15
6) 350
7) 150
8) 50
9) 175
10) None of these

Solution

When A covers 500m B Covers 470m
When A Covers 500m C covers 480

A : B = 500 : 470
A : C = 500 : 480

C/B = (C/A*A/B) = (480/470) = 480:470
When C covers 480 m, B covers 470 m.
When C covers 1200 m, B covers (470/480)*1200)m = 1175m
Therefore, C beats B by (1200 - 1175) m = 25 m.

Option 2)

Correct Option: 2 Best Solution (0)