Answer:
Hector can run 400m in time period of 66 seconds
So, speed of Hector = Total distance ÷ Total time
= 400/66 => 6.06 m/s
So if we want to prove he can run 5km in 14 mins
Then Speed = Total distance / Total time
6.06 m/s = Total distance / 840 (convert mins in sec )
Transpose 840 then,
6.06 × 840 = Total distance
5090.4 meters = Total distance
5.09 km
Hence, proved that Hector could run 5km in 14 mins