# RE1 | anthropic/claude-haiku-4.5 | run 1

## 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 + 180 = 420 miles

**Total time:** 3 + 2 = 5 hours

**Average speed formula:**
\[ \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} \]

\[ \text{Average Speed} = \frac{420 \text{ miles}}{5 \text{ hours}} = 84 \text{ mph} \]

Note: Average speed is calculated using total distance divided by total time—not by averaging the two speeds (which would incorrectly give 80 mph), since the train traveled for different durations at each speed.

What distance would the train need to cover in the next 1.5 hours to reach an average speed of 90 mph for the entire journey?
