An Engine length 1000 m moving at 10 m s A bird is flying from engine to end with 39 x 39 m s and co...........

Quantitative Aptitude ( CCS) Problems on trains

An Engine length 1000 m moving at 10 m/s. A bird is flying from engine to end with 'x' m/s and coming back at '2x' m/s. Take total time of bird travelling as 187.5 s. Find x and 2x in km/hr?

21.4 and 42.8

25.2 and 50.4

31.4208 and 62.8416

33.12 and 66.24

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Explanation:

Birds speeds in mtrs/sec is 'x' and '2x' .
While flying from Engine to end, relative speed = (x+10) m/sec
from end to engine, flying speed = (2x - 10) mtr/sec
so
1000/(x+10) + 1000/(2x-10) = 187.5 secs
solving it, we get
so x = 8.728 m/sec and 2x= 17.456 m/sec

x = 31.4208 km/hr and 2x = 62.8416 km/hr.

Hence, option 3 is the correct answer.

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