A bus is moving with a speed of $10 \mathrm{~ms}^{-1}$ on a straight road. A scooterist wishes to overtake…

A bus is moving with a speed of $10 \mathrm{~ms}^{-1}$ on a straight road. A scooterist wishes to overtake the bus in $100 \mathrm{~s}$. If the bus is at a distance of $1 \mathrm{~km}$ from the scooterist, with what speed should the scooterist chase the bus ?
  1. $10 \mathrm{~ms}^{-1}$
  2. $20 \mathrm{~ms}^{-1}$
  3. $40 \mathrm{~ms}^{-1}$
  4. $25 \mathrm{~ms}^{-1}$

Solution

$\begin{aligned} \mathrm{S}_{\mathrm{r}} & =\mathrm{v}_{\mathrm{r}} \mathrm{t} \\ 1000 & =(\mathrm{v}-10) \times 100 \\ \mathrm{v} & =20 \mathrm{~m} / \mathrm{s} \end{aligned}$

Asked in: NEET 2009 (Mains)

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