Abigail travels from home to a shop. The distance-time graph shows her journey to the shop and the time she spends there. She then travels home in 25 minutes at a constant speed. We need to determine which of the lines A, B, C, or D correctly represents Abigail's journey home on the distance-time graph.

1. Problem Description

Abigail travels from home to a shop. The distance-time graph shows her journey to the shop and the time she spends there. She then travels home in 25 minutes at a constant speed. We need to determine which of the lines A, B, C, or D correctly represents Abigail's journey home on the distance-time graph.

2. Solution Steps

The problem states that Abigail travelled home in 25 minutes at a constant speed. Her journey home starts at the shop, which is 4 km away from her home. Therefore, the line representing her journey home must start at a distance of 4 km and end at a distance of 0 km after 25 minutes.

The time when she starts her return journey is at 10 minutes (from the graph). Thus she would arrive home 25 minutes later at the time of $10 + 25 = 35$ minutes. We need to find a line that starts at the point (10 minutes, 4 km) and ends at (35 minutes, 0 km). By looking at the graph, we see that line D satisfies these conditions.

3. Final Answer

D