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Question

Two trains ,each having a speed of 30km/h,are headed at each other on same track.A bird flies off one train to another with a constant speed of 60km/h when they are 60km apart till before they crash.the distance covered by the bird

A.20km

B.40km

C.60km

D.30km

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Solution

Let us take the speed of one train as V₁ and the speed of another train as V₂

Now, Let us take the total distance between the to trains as - x = 60 km

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⇒ Time taken to collide each other = ( V 1 + V 2 ) / X

= ( 30 + 30 ) / 60

= 60 / 60


= 60 min = 1 hr



Time taken to collide each other = 1 hr


Time taken for the Bird Flight is = 1 hr



Now let us find the total distance by the bird -


Total distance travelled by the bird = Speed of the bird × Time of the birds before the trains collide flight



= 60 × 1 = 60 km



So , total distance covered by the bird =60km


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