### In a race of 1000m, A can beat B by 100m. In a 400m, B beats C by 40m. In a race of 500m. A will beat C by.

A. 95m B. 50m C. 45m D. 60m Answer: Option A
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### Solution(By Apex Team)

When A runs 1000m, B runs 900m. Hence, when A runs 500m, B runs 450m. Again, when B runs 400m, C runs 360m. And, when B runs 450m, C runs $=360 \times \frac{450}{400}=405 \mathrm{~m}$ Required distance = 500 – 405 = 95 meter. That means when A runs 500 meter then B can run 450m then C runs 405m.