You jog at 9.5 km/h for 7.0 km , then you jump into a car and drive an additional 18 km. with what average speed must you drive your car if your average speed for the entire 25 km is to be 22 km/h?

Respuesta :

Answer:

Average speed of car is 45 [tex]\frac{km}{h}[/tex].

Explanation:

Average speed for entire 25 km is 22[tex]\frac{km}{h}[/tex]

Average speed = [tex]\frac{Total distance}{Total time}[/tex]

22 = [tex]\frac{25}{Total time}[/tex]

Total time = [tex]\frac{25}{22}[/tex]

Total time = 1.136 hour

Time for first 7 km is given by t,

t = [tex]\frac{distance}{speed}[/tex]

t = [tex]\frac{7}{9.5}[/tex]

t = 0.736 hour

Thus, time required for next 18 km is

T = Total time - t

T = 1.136 - 0.736

T = 0.4 hour

Hence, average speed of car for 18 km is given by,

Average speed, v = [tex]\frac{distance}{time}[/tex]

v = 45 [tex]\frac{km}{h}[/tex]

Average speed of car is 45 [tex]\frac{km}{h}[/tex].