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  4. A bird flies to and fro between two cars which move with velocities v1 = 20 m/s and v2 = 30 m/s. If the speed of the bird is v3 = 10 m/s and the initial distance of separation between them is d = 2 km, find the total distance covered by the bird till the cars meet <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/9ab441f72ecdc214bd9b794b5dabf2aa-.png />

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Q. A bird flies to and fro between two cars which move with velocities $v_{1} = 20 \,m/s$ and $v_{2} = 30 \,m/s$. If the speed of the bird is $v_{3} = 10 \,m/s$ and the initial distance of separation between them is $d = 2\, km$, find the total distance covered by the bird till the cars meet
image

Motion in a Straight Line

Solution:

Time to meet the cars: $t=\frac{d}{v_{1}+v_{2}}$
Distance travelled by bird in this time
$s=v_{3}t =\frac{v_{3} d}{v_{1} +v_{2}}$
$=\frac{10\times2000}{\left(20+30\right)}$
$=400\,m$