# How many seconds will a 500 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?

A. 25

B. 30

C. 40

D. 45

**Answer: Option B **

__Solution(By Examveda Team)__

$$\eqalign{
& {\text{Speed}}\,{\text{of}}\,{\text{the}}\,{\text{train}}\,{\text{relative}}\,{\text{to}}\,{\text{man}} \cr
& = \left( {63 - 3} \right)\,{\text{km/hr}} \cr
& = 60\,{\text{km/hr}} \cr
& = \left( {60 \times \frac{5}{{18}}} \right)\,{\text{m/sec}} \cr
& \therefore {\text{Time}}\,{\text{taken}}\,{\text{to}}\,{\text{pass}}\,{\text{the}}\,{\text{man}} \cr
& = \left( {500 \times \frac{3}{{50}}} \right)\,\sec \cr
& = 30\,\sec \cr} $$ 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

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