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Q. A bird is tossing (flying to and pro) between two cars moving towards each other on a straight road. One car has speed of $54\, kmh ^{-1}$ while the other has the speed of $36\, kmh ^{-1}$. The bird starts moving from first car towards the other and is moving with the speed of $36\, kmh ^{-1}$ where the two cars were separated by $36\, km$. The total distance covered by the bird before the cars meet each other is

AP EAMCETAP EAMCET 2017

Solution:

The total time duration for the two cars to meet
$=\frac{\text { Total distance }}{\text { Kelative velocity }}$
$=\frac{36}{54+36}$
$T =\frac{36}{90}=0.4\, h$
In this duration, the distance travels
$=36 \times 0.4=14.4\, km$
$=14400\, m$
The total distance covered by the bird before the cars meet each other is $14400\, m$.