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In a race of 600 m, A can beat B by 60 m and in a race of 500 m, B can beat C by 50 m. By how many meters will A beat C in a race of 400 m?
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- 364 m
- 254 m
- 324 m
- 354 m
Correct Option: C
Clearly, if A runs 600 meters, B runs = 540 m.
∴ If A runs 400 m, B runs = 540 x 400 / 600 = 540 x 4 / 6 = 90 x 4 = 360 m
Again, when B runs 500 m, C runs = 450 m
∴ When B runs 360 m, C runs = 450 x 360 / 500 = 45 x 36 / 5 = 9 x 36 = 324 m.
∴ A beats C by 400 - 324 = 76 m.
