Question: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
D 

+ Explanation
A : B = 100 : 90, A : C = 100 : 87

`B/C = B/A xx A/C `

`= 90/100 xx 100/87 = 30/29`

When B runs 180 m, C runs` (29/30 xx 180) m`

  `= 174 m`

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

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Irin Moni

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