A train 100 meters long takes 6 seconds to cross a man walking at 5km/h in a direction opposite
to that of the train. The speed of the train is:
(A) 50km/h
(B) 55km/h
(C) 57km/h
(D) 60km/h
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Answer:
option b 55 km/hr is correct
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Answer:
Let the speed of train is v km/h
Then the relative speed =v-man's speed.
Here the man moves opposite direction with train so the man's spped in negative in sign.
So, relative speed is=v-(-5)=(v+5) km/h
Again the train cross 100 m on 6 second with the relative speed.
So relative speed=100/6 m/s
=100*3600/(1000*6) km/h
=60 km/h
So, v+5=60
Or, v=55
Thus the speed of the train is 55km/h
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