A train 350m long takes 35s to cross a man running at aspeed of 5kmph in the direction same to that of train.What is the speed of the train?
Question
A train 350m long takes 35s to cross a man running at a speed of 5kmph in the direction same to that of train.
What is the speed of the train?
Solution
Sure, here's how you can solve this problem:
Step 1: Convert the speed of the man from km/hr to m/s. We know that 1 km/hr = 5/18 m/s. So, the speed of the man = 5 * (5/18) = 25/18 m/s.
Step 2: The train takes 35 seconds to cross the man, which means it covers a distance equal to its own length in that time. So, the relative speed of the train to the man = Distance/Time = 350m/35s = 10 m/s.
Step 3: The relative speed is the speed of the train minus the speed of the man (because they are moving in the same direction). So, the speed of the train = relative speed + speed of the man = 10 m/s + 25/18 m/s = 205/18 m/s.
Step 4: Convert the speed of the train back to km/hr by multiplying by 18/5. So, the speed of the train = 205/18 * 18/5 = 41 km/hr.
So, the speed of the train is 41 km/hr.
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