In a 600m race, A can beat B by 60 m and in a race of 500 m. B can beat C by25 m

In a 600m race, A can beat B by 60 m and in a race of 500 m. B can beat C by25 m. By how many metres will A beat C in 400 m race

(a)          56 m

(b)          60 m

(c)           58 m

(d)          54 m

Sol:

A:B= 600:540= 10:9

B:C = 500:475 = 20:19

A:B:C = 200:180:171

A:C = in 400 m race= 400:342

= 58 m