Made easy workbook closed

Question

In a $200m$ race,$A$ beats $B$ by $20m$.B beates $C$ by $10m$ in a $250m$ race.By how many meters will $A$ beat $C$ in a $1 km$ race?

Comments

136 meters

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same question :https://gateoverflow.in/209250/madeeasy-workbook

Answer 1

$A : B = 200 : 180(200 - 20 )$

$B : C = 250 : 240 ( 250 - 10 )$

$A : C = (A:B) \times (B:C) = ( 200 : 180 ) \times ( 250 : 240 ) = 125 : 108$

WHEN A COVERS 125m, C COVERS 108m

WHEN A COVERS 1000m , C COVERS $(108 / 125) * 1000 = 864m$

SO A BEATS C BY $(1000 - 864 ) = 136m$