Answer:
The space mean speed is [tex]V_s = \ 18Km/hr[/tex]
The Time mean speed is [tex]V_t= 20 km/hr[/tex]
Explanation:
From the question we can derive that
Velocity (Km / h)(V) 0([tex]V_1[/tex]) 15([tex]V_2[/tex]) 30([tex]V_3[/tex])
No of Cars(N) 10([tex]N_1[/tex]) 40 ([tex]N_2[/tex]) 20([tex]N_3[/tex])
From the table above the space mean speed would be
[tex]V_s = \frac{N_2 + N_3}{\frac{N_2}{V_2} + \frac{N_3}{V_3} }[/tex]
[tex]V_s = \frac{40 +20 }{\frac{40}{15} + \frac{20}{30} }[/tex]
[tex]V_s = \ 18Km/hr[/tex]
From the table above the Time mean speed would be
[tex]V_t = \frac{(N_2 * V_2 ) + (N_3 * V_3 )}{N_2 +N_3}[/tex]
[tex]V_t = \frac{(40* 15 )(30*20)}{40+ 20}[/tex]
[tex]= 20 km/hr[/tex]
We did not make use of [tex]N_1[/tex] because the speed was zero
