A 100 m long train is moving with a velocity of 10 m/s, then find out the time taken by train to cross a bridge of length 150 m.

Answer

To solve the problem of finding the time taken by a train to cross a bridge, we can follow these steps:

### Step 1: Understand the problem
We have a train that is 100 meters long and is moving at a velocity of 10 m/s. We need to determine how long it takes for the entire train to cross a bridge that is 150 meters long.

### Step 2: Calculate the total distance to be covered
When the train crosses the bridge, it has to cover its own length plus the length of the bridge.
- Length of the train = 100 m
- Length of the bridge = 150 m

Total distance to be covered = Length of the train + Length of the bridge
\[ \text{Total distance} = 100 \, \text{m} + 150 \, \text{m} = 250 \, \text{m} \]

### Step 3: Use the formula for time
The time taken to cross the bridge can be calculated using the formula:
\[ \text{Time} = \frac{\text{Distance}}{\text{Velocity}} \]
Here, the distance is the total distance calculated in Step 2, and the velocity is the speed of the train.

### Step 4: Substitute the values into the formula
We know:
- Distance = 250 m
- Velocity = 10 m/s

Now, substituting these values into the formula:
\[ \text{Time} = \frac{250 \, \text{m}}{10 \, \text{m/s}} = 25 \, \text{s} \]

### Step 5: Conclusion
The time taken by the train to cross the bridge is 25 seconds.

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