A bird is tossing (flying to and from) between two cars moving towards each other on a straight road. One car has speed of `27 km h^(-1)` while the other has the speed of `18 km h^(-1)`. The bird starts moving from first car towards the other and is moving with the speed of `36 km h^(-1)` when the two cars were separated by 36 km. The total distance covered by the bird is

Explanation

Given, Speed of first car `= 18 km//h`
Speed of second car `= 27 km//h`
`:.` Relative speed of each car w.r.t each other
`= 18 + 27 = 45 km//h`
Distance between the cars `= 36 km`
`:.` time of meeting the cars`(t) = ("Distance between the cars")/("Relative speed of cars") = 36/45 = 4/5 h = 0.8 h`
Speed of th bird `(v_(b)) = 36 km//h`
`:.` Distance covered by the bird `= v_(b) xx t = 36 xx 0.8 = 28.8 km`