A 280 meter long train crosses a platform thrice its length in 50 seconds. What is the speed of the train in km/hr?

A. 60.48

B. 64.86

C. 80.64

D. 82.38

E. None of these

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & {\text{Length of train}} \cr & {\text{ = 280 m }} \cr & {\text{Length of platform}} \cr & {\text{ = (3}} \times {\text{280) m = 840m}} \cr & \therefore {\text{Speed of train}} \cr & {\text{ = }}\left( {\frac{{280 + 840}}{{50}}} \right)m/\sec \cr & = \frac{{1120}}{{50}}m/\sec \cr & = \left( {\frac{{1120}}{{50}} \times \frac{{18}}{5}} \right)km/hr \cr & = 80.64\,km/hr \cr} $$