A train 270m long is runing over a bridge length of 130 m with a speed of 40 m/s What is the time taken by this train to cross the bridge?

Options

A. 6 s
B. 16 s
C. 10 s
D. none of these

Answer

To find the time taken by the train to cross the bridge, we can follow these steps:

### Step 1: Determine the total distance to be covered
The total distance that the train needs to cover to completely cross the bridge is the sum of the length of the train and the length of the bridge.

- Length of the train = 270 m
- Length of the bridge = 130 m

**Total distance = Length of the train + Length of the bridge**
\[ \text{Total distance} = 270 \, \text{m} + 130 \, \text{m} = 400 \, \text{m} \]

### Step 2: Use the formula for time
The formula to calculate time when distance and speed are known is:
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]

### Step 3: Substitute the values into the formula
Now, we can substitute the total distance and the speed of the train into the formula.

- Speed of the train = 40 m/s

**Time taken to cross the bridge:**
\[ \text{Time} = \frac{400 \, \text{m}}{40 \, \text{m/s}} \]

### Step 4: Calculate the time
Now, we perform the division:
\[ \text{Time} = 10 \, \text{seconds} \]

### Final Answer
The time taken by the train to cross the bridge is **10 seconds**.

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