A train 125m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is-
বিকল্পসমূহ (নিজের উত্তর যাচাই করতে ক্লিক করুন):
সঠিক উত্তর
1 (50 km/hr)
বিস্তারিত ব্যাখ্যা ও বিশ্লেষণ:
Given:
- Length of train = 125 meters
- Man's speed = 5 km/h
- Time to pass the man = 10 seconds
- Both moving in the same direction
Step 1: Convert man's speed to m/s:
5 km/h = (5 × 1000) / (60 × 60) = 1.39 m/s
Step 2: Use the relative speed formula:
Distance / Time = Relative Speed
125 / 10 = 12.5 m/s (relative speed)
Step 3: Add the man's speed to get train's speed:
Train speed = 12.5 + 1.39 = 13.89 m/s
Step 4: Convert train's speed to km/h:
13.89 × 18/5 = 50 km/h