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
Answers
28.8 Kilometres
For these type of questions we use concept of relative velocity:
Given:
Speed of 1 st car = 18 km/hr
Speed of 2 nd car = 27 km/hr
Distance between both the cars = 36 km
Speed of the bird = 36 km/hr
Calculating the relative speed of the car with respect to each other:
= Speed of 1 st car + Speed of 2 nd
Substituting the value into this formula we get:
= 18 + 27
= 45 km/hr
Calculating the time for the meeting of cars
= Distance between the cars / Relative Speed of the cars
Substituting the values known to us in this formula we get:
= 36 / 45
= 4 / 5 hrs
= 0.8 hrs
Calculating the distance covered by the bird
= Velocity of the bird x time take
Substituting the values known to us in this formula we get:
= 36 x 0.8
= 28.8 kilometres
Therefore, the total distance covered by the bird is 28.8 kilometres.