A train travelling at a speed of 30m/scrosses a 600m long platfor min 30s.Find the length of the train.

Options

A. 120 m
B. 150m
C. 200m
D. 300m

Answer

To find the length of the train, we can follow these steps:

### Step 1: Understand the Problem
We need to find the length of the train (let's denote it as \( x \)) that crosses a platform of length 600 meters in 30 seconds while traveling at a speed of 30 meters per second.

### Step 2: Calculate the Total Distance Covered
When the train crosses the platform, it covers a distance equal to the length of the train plus the length of the platform. Therefore, the total distance covered is:
\[ \text{Total Distance} = \text{Length of Train} + \text{Length of Platform} = x + 600 \text{ meters} \]

### Step 3: Use the Formula for Distance
We know that distance can also be calculated using the formula:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]
Given that the speed of the train is 30 m/s and the time taken to cross the platform is 30 seconds, we can calculate the distance covered:
\[ \text{Distance} = 30 \text{ m/s} \times 30 \text{ s} = 900 \text{ meters} \]

### Step 4: Set Up the Equation
Now we can set up the equation based on the total distance covered:
\[ x + 600 = 900 \]

### Step 5: Solve for \( x \)
To find the length of the train \( x \), we rearrange the equation:
\[ x = 900 - 600 \]
\[ x = 300 \text{ meters} \]

### Conclusion
The length of the train is 300 meters.

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