A train travels at an average speed of 50 miles per hour. It travels for `2 1/2` hours.

Options

A. 120 miles
B. 150 miles
C. 200 miles
D. None of these

Answer

To solve the problem of how far a train travels given its speed and time, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Values**:
- Speed of the train = 50 miles per hour
- Time traveled = 2 1/2 hours

2. **Convert the Mixed Number to an Improper Fraction**:
- 2 1/2 hours can be converted to an improper fraction:
- 2 1/2 = (2 * 2 + 1) / 2 = 5/2 hours

3. **Use the Distance Formula**:
- The formula for distance is:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]

4. **Substitute the Values into the Formula**:
- Substitute the speed and the converted time into the formula:
\[ \text{Distance} = 50 \text{ miles/hour} \times \frac{5}{2} \text{ hours} \]

5. **Calculate the Distance**:
- Multiply the speed by the time:
\[ \text{Distance} = 50 \times \frac{5}{2} = \frac{250}{2} = 125 \text{ miles} \]

6. **Final Answer**:
- The train travels a distance of **125 miles**.