Question : Two trains A and B having the lengths 195 m and 165 m, respectively, are running in the same direction on parallel lines. If the speeds of A and B are 77 km/h and 85 km/h, respectively, what will be the time (in seconds) taken by them to cross each other?
Option 1: 162
Option 2: 164
Option 3: 160
Option 4: 166
Correct Answer: 162
Solution :
According to the question,
Both the trains are running in the same direction then their relative speed will be,
Relative speed = Speed of B – Speed of A = 85 km/h - 77 km/h = 8 km/h or $\frac{20}{9}$ m/s
Total distance to cross each other = 195 m + 165 m = 360 m
Now to calculate the total time,
Time = $\frac{\text{Distance}}{\text{Speed}}$
= $\frac{360}{\frac{20}{9}}$
= $\frac{360 \times 9}{20}$
= 162 sec
∴ The time taken by trains to cross each other will be 162 sec.
Hence, the correct answer is 162.
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