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A bird flies to and fro between two cars...

A bird flies to and fro between two cars which moves 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.

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