Correct Answer - Option 1 : 2 minutes and 30 seconds
Given:
The length of the two trains are 200 m and 300 m
Speed of the trains is 60 km/hr and 48 km/hr respectively
Concept Used:
If two moving objects are moving in the same direction, then their relative speed should be the difference of their individual speed
Distance = Time × Speed
(Km/h × 5/18) = m/sec
Calculation:
To cross each other total distance should be cover by the trains is (200 + 300) = 500 m
Relative speed of trains = (60 – 48) = 12 km/hr
⇒ 12 × (5/18) m/sec
⇒ 10/3 m/sec
Total time to cross each other = (500 ÷ 10/3) seconds
⇒ 1500/10 seconds
⇒ 150 seconds
⇒ 2 minutes and 30 seconds
∴ They will take 2 minutes and 30 seconds to cross each other.