How will you draw the graph

Draw a horizontal axis (x-axis) to represent Time in minutes.
Draw a vertical axis (y-axis) to represent Distance from the House in kilometers.

• Y-axis (Distance): The scale is 2 cm to 10 km. Mark the y-axis such that every 2 cm interval represents an increase of 10 km (e.g., 0, 10, 20, 30, 40 km).
• X-axis (Time): The scale is 2 cm to 1 unit. For practical plotting, we will assume 1 unit on the x-axis represents 10 minutes. Therefore, mark the x-axis such that every 2 cm interval represents an increase of 10 minutes (e.g., 0, 10, 20, 30, 40, 50, ..., up to 250 minutes).

• Start (House): At time 0 minutes, the distance from the house is 0 km. Plot the point $(0, 0)$.
• House to Town A: The journey takes 20 minutes, covering 20 km. Plot the point $(20 \text{ min}, 20 \text{ km})$.
• Stop at Town A: She stops for 10 minutes. The time is now $20 + 10 = 30$ minutes, and the distance from the house is still 20 km. Plot the point $(30 \text{ min}, 20 \text{ km})$.
• Town A to Town B: This journey takes 20 minutes, covering 20 km. The total time is now $30 + 20 = 50$ minutes, and the total distance from the house is $20 + 20 = 40$ km. Plot the point $(50 \text{ min}, 40 \text{ km})$.
• Town B to House (Return): This journey takes 200 minutes (3 hours and 20 minutes). The total time is now $50 + 200 = 250$ minutes, and the distance from the house is 0 km. Plot the point $(250 \text{ min}, 0 \text{ km})$.

Draw straight lines to connect the plotted points in chronological order:

• Connect $(0, 0)$ to $(20, 20)$. (House to Town A)
• Connect $(20, 20)$ to $(30, 20)$. (Stop at Town A)
• Connect $(30, 20)$ to $(50, 40)$. (Town A to Town B)
• Connect $(50, 40)$ to $(250, 0)$. (Town B to House)

This will form the complete distance-time graph.