A train passes a telegraph post in 8 seconds and a 264 m long bridge in 20 seconds.What is the length of the train ? 180 m176 m164 m158 m

To solve this problem, we first need to understand that when a train crosses a telegraph post, it covers a distance equal to its own length.

Step 1: Calculate the speed of the train The train crosses the telegraph post in 8 seconds. So, the speed of the train is the length of the train (which we are trying to find) divided by the time it takes to cross, which is 8 seconds. We can express this as: Speed = Length of the train / Time Length of the train = Speed * Time

Step 2: Calculate the length of the train when it crosses the bridge When the train crosses a 264m long bridge, it covers a distance equal to the length of the train plus the length of the bridge. The train takes 20 seconds to cross the bridge. So, we can express this as: Speed = (Length of the train + Length of the bridge) / Time Length of the train = Speed * Time - Length of the bridge

Since the speed of the train remains the same in both scenarios, we can set the two equations from Step 1 and Step 2 equal to each other and solve for the length of the train:

Length of the train = Speed * Time - Length of the bridge

Substituting the values into the equation we get:

Length of the train = Length of the train * 20/8 - 264

Solving the above equation gives us the length of the train as 176m. So, the correct answer is 176m.