Question : Two trains Mumbai Rajdhani and Kissan Express of lengths 850 m and 700 m are 1050 m apart and are running on parallel tracks towards each other. Mumbai Rajdhani is running at 62 km/hr and Kissan Express is running at 55 km/hr. In how much time (in sec) will the trains cross each other?
Option 1: 70
Option 2: 45
Option 3: 75
Option 4: 80
Correct Answer: 80
Solution : Given: Length of Mumbai Rajdhani = 850 m Length of Kissan Express = 700 m Speed of Mumbai Rajdhani = 62 km/hr Speed of Kissan Express = 55 km/hr Distance between trains = 1050 m We know that, If two trains move with speed $S_1$ and $S_2$ in opposite directions. Their relative speed = $S_1 +\ S_2$ Now, $\text{Time} = \frac{\text{Distance}}{\text{Speed}}=\ \frac{850\ +\ 1050\ +\ 700}{(62\ +\ 55)\times \frac{5}{18}}=\ \frac{2600\ \times 18}{117\ \times 5}=\ 80$ seconds Hence, the correct answer is 80 seconds.
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