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Q. A car moves from $A$ to $B$ with a speed of $30 \,kmph$ and from $B$ to $A$ with a speed of $20\,kmph$. What is the average speed of the car ?

KCETKCET 2014Motion in a Straight Line

Solution:

We have given that
image
Speed of Ist car
$v_{1}=30\, km / h$
Speed of IInd car
$v_{2}=20\, km / h$
The average speed of the car
$=\frac{2 v_{1} v_{2}}{v_{1}+v_{2}}=\frac{2 \times 30 \times 20}{30+20}$
$=\frac{1200}{50}=24\, km / h$