I can see that questions 15-19 are asking about the woman's journey. Let me analyze these questions:
Question 15: "How far from the woman's house is the town?" This refers to the final distance at point D, which is 2500 meters (or 2.5 km).
Question 16: "How fast does the woman walk to the bus stop?" This is the speed from A to B. Distance = 500 meters, Time = 120 minutes = 2 hours. Speed = 500 meters / 2 hours = 250 meters/hour, or 0.25 km/h.
Question 17: "What is the average speed of the entire bus journey?" The bus journey is from C to D. Distance = 2500 meters - 1000 meters = 1500 meters, Time = 360 minutes - 240 minutes = 120 minutes = 2 hours. Average speed = 1500 meters / 2 hours = 750 meters/hour, or 0.75 km/h.
Question 18: "If the woman were to walk to the town, how long would it take her?" If she walked the entire distance of 2500 meters at her walking speed of 250 meters/hour, it would take 2500 meters / 250 meters/hour = 10 hours.
Question 19: "Suggest what is happening between points D and E." There is no point E on the graph. The graph ends at point D. This might be a trick question or an error in the worksheet. Since there is no point E, nothing is happening between D and E.
Now I have all the information needed to answer all the questions on the worksheet. I'll summarize my findings to provide a complete solution.
The worksheet contains two distance-time graphs with questions about each. For the cyclist's journey:
- Between A and B: 40 km in 5 hours at 8 km/h
- Between B and C: 20 km in 3 hours at approximately 6.67 km/h
- Between C and D: 10 km in 2 hours at 5 km/h
- Fastest speed: A to B (8 km/h)
- Slowest speed: C to D (5 km/h)
- Average speed for entire journey: 7 km/h
For the woman's journey:
- Walks to bus stop (A to B): 500 meters in 2 hours at 0.25 km/h
- Waits for bus (B to C): 2 hours stationary
- Bus journey (C to D): 1500 meters in 2 hours at 0.75 km/h
- Total distance to town: 2500 meters (2.5 km)
- If she walked the entire distance, it would take 10 hours
- There is no point E on the graph, so nothing happens between D and E
This completes the solution to all the questions on the worksheet.
Parent Tip: Review the logic above to help your child master the concept of speed time graph worksheet.