Answer to Question #95884 in Mechanics | Relativity for Gio

Question

A car travels 40 kilometers at an average speed of 80 kilometers per hour and then travels 40 kilometers at an average speed of 40 kilometers per hour. The average speed of the car for this 80-kilometer trip is?

Answer 1

$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ t=t_1+t_2$

Where,

$$\\t_1=time\ elapsed \ for first\ half$$ $$t_2=time \ for\ second\ half$$

t = time with average speed

$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{80}{v_{avg}}=\frac{40}{80}+\frac{40}{40}=\frac{3}{2}\\\ \ \ \ \ \ \ \ \ \ \ \ \ \ v_{avg}=\frac{2\times 80}{3}=53.33\ m\ s^{-1}$