Question

Hector can run 400 metres in 66 seconds.

Use this information to show that he could run 5 kilometres in less than 14 minutes.

Please help!

Answer 1

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