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Answer: it take 3hours.
Step-by-step explanation:
To determine how long it will take JM to overtake Annie, we can use the concept of relative speed.
1. **Define the variables:**
- Annie's speed: 60 km/h
- JM's speed: 80 km/h
- Time difference: 1 hour (Annie leaves 1 hour before JM)
2. **Calculate the distance Annie travels in 1 hour:**
- Distance = Speed × Time
- Distance = 60 km/h × 1 hour = 60 km
3. **Calculate the relative speed between JM and Annie:**
- Relative speed = JM's speed - Annie's speed
- Relative speed = 80 km/h - 60 km/h = 20 km/h
4. **Determine the time it takes for JM to catch up:**
- Time = Distance / Relative speed
- Time = 60 km / 20 km/h = 3 hours
So, it will take JM 3 hours to overtake Annie.