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

Explanation

Given, Speed of first car `v _(1) = 18 km//h`
Speed of second car `v _(2)= 27 km//h`
`therefore` Relative speed of each car w.r.t. each other
`= v _(1) + v_(2)` (as both are in opposite)
`=18 + 27=45 km//h`
Distance between the case = 36 km
`therefore ` TIme of meeting the cars (t)
`= ("Distance between the cars")/("Relative speed of cars") = (36)/(45) =4/5 h = 0.8 h`
Speed of the bird (v) = 36 km/h
`therefore ` Distance covered by the bird `= v xx t = 36 xx 0.8 =28.8 km`