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Two trains having lengths of 200 meters and 300 meters are running in the same direction with a speed of 60 km/hr and 48 km/hr respectively. How much time will they take to cross each other?
1. 2 minutes and 30 seconds
2. 2 minutes
3. 1 minutes and 30 seconds
4. Cannot be determine

1 Answer

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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.

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