A train is moving towards a pole with a speed of 40m/s and the distance between the train and the pole is 80m. A bird is flying towards the pole with a speed of 150m/s and returns back towards the train with a speed of 200m/s. We need to find out the distance travelled by the bird.





We know that, distance = speed x time

Therefore, time = distance / speed

Given that the distance between the train and pole is 80m and the speed of the train is 40m/s, the time taken by the train to reach the pole will be:

time = distance / speed = 80 / 40 = 2 seconds



When the train is moving towards the pole, the bird is also moving towards the pole. Therefore, the distance travelled by the bird towards the pole will be:

distance = speed x time = 150 x 2 = 300m



The bird is now flying towards the train with a speed of 200m/s. Let's assume that the bird travels a distance of 'd' before it meets the train.

Therefore, time taken by the bird to travel towards the train will be:

time = distance / speed = d / 200



The train is moving away from the pole with a speed of 40m/s. Therefore, the time taken by the train to travel the same distance 'd' will be:

time = distance / speed = d / 40



The total time taken by the bird will be the sum of the time taken by the bird to travel towards the train and the time taken by the train to travel the same distance 'd'.

total time taken by the bird = d / 200 + d / 40



While returning towards the train, the speed of the bird is 200m/s. Therefore, the distance travelled by the bird will be:

distance = speed x time = 200 x (d / 200 + d / 40) = 9d



The total distance travelled by the bird will be the sum of the distances travelled by the bird in all three scenarios.

total distance travelled by the bird = 300 + d + 9d

= 10d + 300



We can calculate the value of 'd' by using the fact that the total distance travelled by the bird is equal to the distance between the train and the pole.

total distance travelled by the bird = distance between the train and pole

10d + 300 =

2400/7