2012 London Olympic Triathlon

Gold Medal: Alistair Brownlee

Swim (1500m): 1.46 \({m \over s} \)
Bike (40,000m): 11.27 \({m \over s} \)
Run (10,000m): 5.72 \({m \over s} \)

\(speed = {distance \over Δtime}\)

\(Δtime = {distance \over speed}\)

Swim: \(time = {1500 m \over 1.46 {m \over s} } = 1024 s \)

Bike: \(time = {40,000 m \over 11.27 {m \over s} } = 3548 s \)

Run: \(time = {10,000 m \over 5.72 {m \over s} } = 1747 s \)

Total distance: \(d = 1500 m + 40,000 m + 10,000 m = 51,500 m \)

Total time: \(t = 1024 s + 3548 s + 1747 s = 6319 s \)

Average speed \(s = {d \over \Delta t } = {51,500 m \over 6319 s} = 8.15 m/s \)