In 2016 Rio olympic race of 600 m Bolt beats Gatlin by 60 m and in race of 500 m Gatlin beats Blake ...........

Quant (SSC) Time & distance

In 2016 Rio olympic race of 600 m, Bolt beats Gatlin by 60 m and in race of 500 m, Gatlin beats Blake by 25 m. By how many metres will Bolt beat Blake in a 400 m race?

270 m

370 m

130 m

None of these

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Explanation:

When Bolt runs 600 m, Gatlin runs 540 m.
Hence, when Bolt runs 400 m,
Gatlin will run = 540 x 400 / 600 = 360m
Again, when Gatlin runs 500 m,
Blake runs 475 m.
Therefore, when Gatlin runs 360 m,
Blake will run = 475 x 360 / 500 = 342 m
Required difference in distance between Bolt and Blake = 400 – 342 = 58 meter.
That means Bolt will beat Blake by 58 m in 400 m race.