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Question
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 m/h while the other has the speed of 27km/h. The bird starts moving from first car towards the other and is moving with the speed of 36km/h and when the two cars were separted by 36 km. What is the total distance covered by the bird? What is the total displacement of the bird?
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Solution
Given, Speed of the first car = 18 km/h
Speed of second car = 27 km/h
∴ The 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"/"Relatie speed of cars"`
= `36/45`
= `4/5`h
= 0.8 h
Speed of the bird (vb) = 36 km/h
∴ Distance covered by the bird = vb × t = 36 × 0.8 = 28.8 km.
