# RE1 | anthropic/claude-haiku-4.5 | run 2

## Prompt

A train travels 240 miles in 3 hours, then 180 miles in 2 hours. What is its average speed for the entire trip? Show your work.

## Response

The average speed for the entire trip is **84 miles per hour**.

## Calculation

**Total distance:**
\[ 240 \text{ miles} + 180 \text{ miles} = 420 \text{ miles} \]

**Total time:**
\[ 3 \text{ hours} + 2 \text{ hours} = 5 \text{ hours} \]

**Average speed:**
\[ \text{Average speed} = \frac{\text{Total distance}}{\text{Total time}} = \frac{420}{5} = 84 \text{ mph} \]

Note: Average speed is calculated using total distance divided by total time—not by averaging the two individual speeds (which would incorrectly give 82 mph, since the segments involved different time intervals).

What distance would the train need to cover in the next hour to achieve an average speed of 100 mph for the entire journey?
