Answer to Question #290530 in Physics for Rex

Question

A car accelerates from rest to reach a certain speed in 10 minutes. If then continues at this speed for another 10 minutes and then decelerates to rest in further 5 minutes. If the total distance covered is 17.5km. Find the speed reached.

Answer 1

Given:

$l=17.5\:\rm km$

$t_1=10\:\rm min$

$t_2=10\:\rm min$

$t_3=5\:\rm min$

The average speed

$$v_{\rm ave}=\frac{l}{t}=\frac{l}{t_1+t_2+t_3}$$

$$v_{\rm ave}=\rm\frac{17.5\: km}{(10+10+5)*1/60\: hr}=42\: km/hr$$