Question : Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is:
Option 1: 72 m
Option 2: 80 m
Option 3: 82 m
Option 4: 50 m
Correct Answer: 50 m
Solution :
Let the length of each train be $x$ m.
During the crossing, the two trains cover a distance equal to the sum of their lengths.
Then, the distance covered = $2x$ m
Relative speed = 46 − 36 = 10 km/hr = 10 × $\frac{5}{18} =\frac{25}{9}$ m/s
$\text{Speed}=\frac{\text{Distance}}{{\text{Time}}}$
⇒ $\frac{25}{9}=\frac{2x}{36}$
$\therefore x=$ 50 m
Hence, the correct answer is 50 m.
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