In a race of 600 m, A can beat B by 50 m and in a race of 500 m B can beat C by 60 m. By how many meters will A beat C in a race of 300 m?
Explanation:
Ratio of speeds of A : B = 600 : 550 = 12 : 11
Ratio of speeds of B : C = 500 : 440 = 25 : 22
Ratio of speeds of A : C = 12 × 25 : 11 × 22 = 150 : 121
∴ 150/121 = 300/DC
⇒ DC = 242
⇒ A beats C by (300 - 242) = 58 meters in a 300 meter race.
Hence, option (a).
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