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

Sure, here's how to solve this problem:

Step 1: Convert all units to a common unit. In this case, we'll convert everything to meters and seconds. The speed of the man is given in km/h, so we convert it to m/s by multiplying by 5/18. So, the speed of the man is 5*(5/18) = 1.39 m/s.

Step 2: The train takes 35 seconds to cross the man. This means that the train travels the length of itself (350m) plus the distance the man runs in 35 seconds. The distance the man runs is his speed times time, or 1.39 m/s * 35 s = 48.65 m.

Step 3: So, the total distance the train travels is 350m (its own length) + 48.65m (the distance the man runs) = 398.65m.

Step 4: The speed of the train is then this total distance divided by the time it takes to travel that distance. So, the speed of the train is 398.65m / 35s = 11.39 m/s.

Step 5: Convert this speed back to km/h by multiplying by 18/5. So, the speed of the train is 11.39 m/s * (18/5) = 40.99 km/h.

So, the speed of the train is approximately 41 km/h.