You nose out another runner to win the 100.000m dash. if your total time for the race was 11.8 seconds and you aced out the other runner by 0.001 seconds, by how many meters did you win?

You completed 100.000 m in 11.800 second

you aced out the other runner by 0.001 seconds

time taken by other runner to finish = 11.800 + 0.001 = 11.801s

speed of other runner = 100/11.801 m/s

distance covered by him in 11.8 s = 100/11.801 × 11.8 = 99.992 m

you won by = 100 - 99.992 = 0.008 meter