Question

In a race of 800 m, A can beat B by 40 m. In a race of 500 m, B can beat C by 5 m. In a race of 200 m, A will beat C by 

(a) 11.9 m 

(b) 1.19 m 

(c) 12.7 m 

(d) 1.27 m

Answer 1

(a) 11.9 m

Ratio of distances covered by A and B = 800 : 760 = 20000 : 190000 

Ratio of distances covered by B and C = 500 : 495 = 190000 : 18810 

∴ Ratio of distances covered by A and C = 20000 : 18810 = 200 : 188.1 

Hence A will beat C in a 200 m race by 200 m – 188.1 m = 11.9 m.