Question

A train 110 m long passes a man, running at 6 kmph in the direction opposite to that of the train, in 6 seconds. The speed of the train is ___.

• A. 60 $\frac{km}{hr}$
• B. 72 $\frac{km}{hr}$
• C. 66 $\frac{km}{hr}$
• D. 54 $\frac{km}{hr}$

Answer 1

The correct option is A 60 $\frac{km}{hr}$

Given, length of train = 110 m = 0.11 km
Speed of man = 6 kmph
Time taken by train to cross the man = 6 seconds = $\frac{6}{3600}$ hours
Let the speed of train be $x$ kmph,
As train and man are running in opposite direction, their speed will be added up to get total speed.
Now, according to question,
$0.11km=(x+6)\frac{km}{hr}\times \left(\frac{6}{3600}\right)hr$
$0.11\times 600=x+6$
$66=x+6$
$x=60$
So. the speed of train = $60\frac{km}{hr}$.