Question

A scooterist sees a bus $1km$ ahead of him moving with a velocity of $10m{s}^{-1}$. With what speed the scooterist should move so as to overtake the bus in $100s$?

• A. $10m{s}^{-1}$
• B. $20m{s}^{-1}$
• C. $50m{s}^{-1}$
• D. $30m{s}^{-1}$

Answer 1

Answer: (B)

$20m{s}^{-1}$

Distance covered by bus in $100s$ is $=10\times 100=1000m$

Hence the distance between scooter and bus after $100s$ will be

$=1000+1000$

$=2000m$

Speed of scooter to overtake the bus will be $=\frac{2000}{100}=20m/s$