https://file.aiquickdraw.com/mathbot/file/1727037029772mhp6oiw2.jpg

To find the time when the greatest distance between Joshua and Isla was recorded, we can analyze the graph.

1. **Key Observation**: 
   - Joshua's progress is represented by the solid line.
   - Isla's progress is represented by the dashed line.
   
2. **Greatest Distance**:
   The greatest distance between the two would be when the vertical distance between these two lines is the largest on the graph.

By examining the graph:
- The **largest vertical gap** between Joshua's and Isla's lines appears to occur around the **90-minute mark**. At this point, Joshua has covered significantly more distance than Isla.

Thus, the time when the greatest distance between Joshua and Isla was recorded is approximately **90 minutes** into the marathon.

Would you like a more detailed breakdown of how this was determined, or do you have any other questions?

### Related Questions:
1. How can you calculate the difference in distance between Joshua and Isla at each time point?
2. How do the slopes of their lines reflect their running speeds?
3. What is the total distance Joshua and Isla covered at the end of the race?
4. How can we determine who finished the race first based on this graph?
5. How would you model the speed of each runner mathematically using this data?

### Tip:
When analyzing graphs like this, always look for the point where the two lines are farthest apart vertically to find maximum differences.

At what time in the marathon was the greatest distance between Joshua and Isla recorded?

Learn how to determine the time when the greatest distance between runners Joshua and Isla was recorded during a marathon by analyzing their progress on a distance-time graph. This problem covers key concepts such as graph interpretation, rate of change, and the relationship between distance, speed, and time. Suitable for students in Grades 6-8.

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