A train running at 72kmph takes 20sec to pass a station Next it takes 15 sec to pass a man walking a...........

Quantitative Aptitude (CDS) Problems on trains

A train running at 72kmph takes 20sec to pass a station. Next, it takes 15 sec to pass a man walking at 6 kmph in the same direction in which the train is going. Find the length of the train and the length of the station respectively.

275m and 125m

280m and 120m

250m and 150m

255m and 145m

छोटे Courses बड़े Results

Master Problems on trains

Prepare through Micro-courses

Try Now

Explanation:

Let the length of train be x meters and length of station be y
Speed of the train relative to man = ( 72-6)kmph = 66kmph
= 66(5/18) m/sec = 55/3 m/sec
In passing a man the train covers its own length with relative speed.
length of train= ( Relative speed x time ) = (55/3)15m = 275m
Also, speed of train = 72(5/18)m/sec = 20m/sec
(x+y)/20 = 20
x+y = 400
y = 400 - 275 = 125m
So,length of train = 275m and length of station = 125m