# RE1 | google/gemini-3.6-flash | 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 of the train for the entire trip is 84 miles per hour. This result is obtained by dividing the total distance traveled by the total time taken across both legs of the journey. 

## Calculation and Step-by-Step Solution

Average speed is defined as total distance divided by total time:

\[ \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} \]

**Step 1: Calculate the total distance**
\[ \text{Total Distance} = 240 \text{ miles} + 180 \text{ miles} = 420 \text{ miles} \]

**Step 2: Calculate the total time**
\[ \text{Total Time} = 3 \text{ hours} + 2 \text{ hours} = 5 \text{ hours} \]

**Step 3: Divide total distance by total time**
\[ \text{Average Speed} = \frac{420 \text{ miles}}{5 \text{ hours}} = 84 \text{ miles per hour} \]

Would you like to solve another physics or speed calculation problem involving multiple legs of a journey?
