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A bus is moving with a speed of $10 m/s$ on a straight road. A scooterist wishes to overtake the bus in $100 s$. If the bus is at a distance of $1 \;km$ from the scooterist with what speed should the scooterist chase the bus?

\[(a)\;40\; m/s \quad (b)\;25 \;m/s \quad (c)\;10 \;m/s \quad(d)\;20\; m/s \]

1 Answer

Let $V_{SB}$=relative velocity of scooterist with respect to bus
$V_S$=Velocity of Scooterist
$V_B$=Velocity of Bus
Since the scooterist has to cross the bus $1km$ distance in $100$ second.
$ V_{SB}=\large\frac{1000\;m }{100\;s}$$=10 m/s$
Therefore $V_S=10+10=20 m/s$
Hence d is the correct answer


answered Jul 3, 2013 by meena.p
edited Jan 26, 2014 by meena.p

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