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

A bird flies to and fro between two cars wich move with velocities `v_(1)` and `v_(2)`, If the speed of the bird is `v_(3)` and the initial distance ofseparation between then is `d`, find the total distance covered bythe bird till the cars meet.
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Text Solution

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`v_(12)=v_(1)+v_(2)`
Time taken cover distance `d`
`t=(d)/(v_(12)=(d)/(v_(1)+v_(2)`
Since the speed of bird is `v_(3)`, therefore, distance covered by bird in time `t`.
`v_(3)xx t=(d)/(v_(1)+v_(2))v_(3)`.
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