Question

Two cars start towards each other at the same time. One travels at 60km/hr and another at 90km/hr.a bird starts with one of the cars and flies at 400km/hr towards the other one. When it gets to the other car, it turns and flies back towards the first and continues this to and fro flying when the cars are moving towards each other. How far does the bird travel before the cars pass each other?. The distance between the cars is 3000 km

Answer 1

The distance bird travel before the cars pass each other is 8000 km.

Step-by-step explanation:

We are given that two cars start towards each other at the same time. One travels at 60 km/hr and another at 90 km/hr. A bird starts with one of the cars and flies at 400 km/hr towards the other one.

Also, the distance between cars is 3000 km.

Firstly, we will calculate the relative speed between the two cars, i.e;

Speed of one car = 60 km/hr

Speed of another car = 90 km/hr

So, the relative speed of each car with respect to another = (60 + 90) = 150 km/hr.

Now, the time of both the cars meeting with each other is given by;

          $\text{Time} = \dfrac{\text{Distance between the cars}}{\text{Relative speed of both the cars}}$

                    =  $\frac{3000}{150}$  = 20 hours.

This means that both cars meet after 20 hours.

We are given in the question that a bird flies at the speed of 400 km/hr towards another car.

So, the distance bird travel before the cars pass each other = $400 \times 20$ = 8000 km.