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Question Id : 11573 | Context :NIMCET 2023

Question

Rajdhani Train running at a speed of 54 km/hr crosses a platform of length same as that of the train in 36 sec. If a Duronto train, which is 230 meters long crosses the same platform in 25 sec, then find speed of Duronto train (in km/hr)?
🎥 Video solution / Text Solution of this question is given below:

Speed of Duronto Train

Step 1: Rajdhani crosses a platform equal to its length in 36 sec.

Let length of Rajdhani = L meters ⇒ Platform = L meters ⇒ Total distance = 2L meters

Speed = 54 km/hr = 15 m/s

So, 2L = 15 × 36 = 540 ⇒ L = 270 m

Step 2: Duronto (length 230 m) crosses same platform (270 m) = total distance = 500 m

Time = 25 sec

Speed = Distance / Time = 500 / 25 = 20 m/s

Convert to km/hr: 20 × 18 / 5 = 72 km/hr

✅ Final Answer: 72 km/hr


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