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

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 × $$\frac{{450}}{{400}}$$ = 405m.Required distance = 500 - 405 = 95 meter.That means when A runs 500 meter then B can run 450m then C runs 405m.