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Pritish Chakraborty Grade: 12
        

Two trains, each having speed 30 km/h, are headed at each other on the same straight track. A bird that can fly 60 km/h flies off the front of one train when they are 60 km apart. On reaching the other train, the bird directly flies back to the first train and so forth. What is the total distance the bird travels before the train collides?

8 years ago

Answers : (2)

Ritika Chaudhury
18 Points
										Ans: Total time interval for the birds motion = time taken for the trains to collide 


ie t = initial seperation / velocity of approach
= 60/ 2(30)
= 1 hour

therfore, distance covered by bird = t.v
= 1.60 = 60 kms
8 years ago
manoj jangra
8 Points
										

hiii


when the train is 60 km apart bird flies


time taken by it to travel to other train 


60t + 30t = 60


t = 2/3 hr


when bird reach othe train  distance between two trains = 20 km


time taken by it to travel to first train


60t + 30t = 20


t = 2/9 hr


this process will continue n times


so distance moved by bird = 60 x 2/3 +60 x 2/32 ................................60 x 2/3n


= 60 x 2/3 (1 + 1/3 + 1/32 ......................1/3n )


= 80/3 km    ....................          Ans   


 

7 years ago
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