Answer:
7 Laps
Explanation:
Velocity = Displacement / Time
Velocity of Kara
[tex]V_K=\frac{5000}{17.9\times 60}[/tex]
Velocity of Hannah
[tex]V_H=\frac{5000}{15.3\times 60}[/tex]
When Hannah will pass Kara they both would have run the same amount of time.
Displacement = Velocity × Time
[tex]400=(V_H-V_K)T\\\Rightarrow T=\frac{400}{V_H-V_K}\\\Rightarrow T=\frac{400}{\frac{5000}{15.3\times 60}-\frac{5000}{17.9\times 60}}\\\Rightarrow T=505.61\ s[/tex]
Distance = Speed × Time
[tex]Distance=\frac{5000}{15.3\times 60}\times 505.61\\\Rightarrow Distance=2753.86\ m[/tex]
Distance traveled by Hannah
[tex]\frac{2753.86}{400}=6.88\ Laps[/tex]
So, Hannah would have run 7 Laps when she passes Kara
