Subjects algebra

Arrival Time Difference

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1. **State the problem:** Maria and Marc both travel 50 miles to work. Maria drives at 50 mph without stopping. Marc drives at 40 mph but stops for 10 minutes to get coffee. We need to find the difference in their arrival times in minutes. 2. **Calculate Maria's travel time:** Maria's speed = 50 mph Distance = 50 miles Time = Distance / Speed = $$\frac{50}{50} = 1$$ hour Convert to minutes: $$1 \times 60 = 60$$ minutes 3. **Calculate Marc's travel time:** Marc's speed = 40 mph Distance = 50 miles Time driving = $$\frac{50}{40} = 1.25$$ hours Convert to minutes: $$1.25 \times 60 = 75$$ minutes Add coffee stop time: 10 minutes Total time for Marc = 75 + 10 = 85 minutes 4. **Calculate the difference in arrival times:** Difference = Marc's time - Maria's time = 85 - 60 = 25 minutes **Final answer:** The difference in their arrival times is **25 minutes**.