# A train running at the speed of 84 km/hr passes a man walking in opposite direction at the speed of 6 km/hr in 4 seconds. What is the length of train (in meter)?

A. 150 m

B. 120 m

C. 100 m

D. 90 m

**Answer: Option C **

__Solution(By Examveda Team)__

$$\eqalign{
& {\text{Let length of train }} \cr
& {\text{ = }}l\,{\text{metre}} \cr
& \Rightarrow {\text{Time }} \cr
& {\text{ = }}\frac{{{\text{total distance}}}}{{{\text{relative speed in opposite direction}}}} \cr
& \Rightarrow 4\sec \, = \,\frac{{l + 0}}{{\left( {84 + 6} \right) \times \frac{5}{{18}}{\text{m/s}}}} \cr
& \Rightarrow 4\, = \frac{l}{{90 \times \frac{5}{{18}}}} \cr
& \Rightarrow \,l\, = \,100\,{\text{m}} \cr
& \therefore {\text{ length of the train = 100 m}} \cr} $$
### Click here to read 1000+ Related Questions on Problems on Trains(Arithmetic Ability)

Related Questions on Problems on Trains

A. 120 metres

B. 180 metres

C. 324 metres

D. 150 metres

A. 45 km/hr

B. 50 km/hr

C. 54 km/hr

D. 55 km/hr

A. 200 m

B. 225 m

C. 245 m

D. 250 m

## Join The Discussion