Question : Two trains, each of length 125 metres, are running in parallel tracks in opposite directions. One train is running at a speed of 65 km/hr and they cross each other in 6 seconds. The speed of the other train is:
Option 1: 75 km/hr
Option 2: 85 km/hr
Option 3: 95 km/hr
Option 4: 105 km/hr
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Correct Answer: 85 km/hr
Solution :
Given:
The first train is running at a speed of 65 km/hr.
Let the speed of the second train = $x$ km/hr
So, time= $\frac{\text{Length of Train 1+ Length of Train 2}}{\text{Relative speed in opposite direction}}$
$⇒6=\frac{125+125}{(65+x)×\frac{5}{18}}$
$⇒65+x=50×3$
$⇒x= 150 - 65$
$\therefore x= 85$ km/hr
Hence, the correct answer is 85 km/hr.
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