Question

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

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

Answer 1

Answer: (B)

Let $u$ be the velocity of scooterist in order to catch the bus in $100 s$. Then
$u \times 100=10 \times 100+1000$
$=2000 $ or $ u=20 \,ms ^{-1}$