Answer:
Neil's average speed is 13.74 km/h
Step-by-step explanation:
- Hook runs 12 kilometers
- His average speed is 14.88 km/h
∵ Average speed = total distance ÷ total time
∴ Total time = total distance ÷ average speed
∵ His average speed = 14.88 km/h
∵ His distance = 12 km
∴ His time = 12 ÷ 14.88 = [tex]\frac{25}{31}[/tex] hour
- Neil runs the same distance
- His time longer than the time of Hook by 4 minutes because
he slower than him by 4 minutes
- Lets change the 4 minutes to hour
∵ 1 hour = 60 minutes
∴ 4 minutes = [tex]4*\frac{1}{60}[/tex] = [tex]\frac{1}{15}[/tex] hour
∵ The time of Hook [tex]\frac{25}{31}[/tex] hour
∵ The time of Neil is longer by [tex]\frac{1}{15}[/tex] hour
- Add the value above to the time of Hook to get the time of Neil
∴ The time of Nile = [tex]\frac{25}{31}[/tex] + [tex]\frac{1}{15}[/tex]
∴ The time of Nile = [tex]\frac{406}{465}[/tex] hours
* Now lets find the average speed of Neil
∵ The distance of Neil is 12 km
∵ His time = [tex]\frac{406}{465}[/tex] hours
∴ His average speed = 12 ÷ [tex]\frac{406}{465}[/tex] = 13.74 km/h
* Neil's average speed is 13.74 km/h
