# Q. 4.11 A passenger arriving in a new town wishes to go from the station to a hotel located $10 \; km$, away on a straight road from the station. A dishonest cabman takes him along a circuitous path  $23\; km$. long and reaches the hotel in $28 \; min.$ What is(b) the magnitude of average velocity? Are the two equal?

D Devendra Khairwa

Total displacement  =  10 Km

Total time taken in hours  :

$=\ \frac{28}{60}\ hr$

Avg. velocity    :

$=\ \frac{10}{\frac{28}{60}}\ hr$

$=\ 21.43\ Km/h$

It can be clearly seen that avg. speed and avg. velocity is not the same.

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