Q: For a man who walks 720 m at a uniform speed of 2 m/s, then at a uniform speed of 4 m/s for 5 minute and then again in walks at a speed of 1 m/s for 3 minutes. His average speed is
Sol. Where s1 =720 m and t1 = s1/v1 = 720/2 = 360 s
s2 = 4×( 5 × 60) = 1200 m , t2 = 300 s
s3 = 1× ( 3 × 60) = 180 m , t3 = 180 s
$\displaystyle v_{avg} = \frac{s_1 + s_2 + s_3}{t_1 + t_2 + t_3 } $
$\displaystyle v_{avg} = \frac{720 + 1200 + 180}{360 + 300 + 180 } $
= 2.5 m/s