Question

Серёжа вышел из дома в7ч 45мин и 10мин шёл со скоростью 50м/мин,а затем 5мин - со скоростью 60м/мин.Успел ли Серёжа в школу к 8ч,если от его дома до школы 800м?

Answer 1

1) 50*10=500 м путь , пройденный за 10 мин 2) 60*5=300 м путь , пройденный за 5 мин 3) 500 м +300м =800м прошел Сережа от дома до школы 4) 10 мин+5 мин=15 мин шел Сережа 5) 7ч 45мин+15 мин=7ч 60 мин=8 ч Ответ: Сережа успел в школу

Answer 2

Problem Analysis

We need to determine if Sergey has enough time to reach school by 8:00 AM. Sergey left home at 7:45 AM and walked at a speed of 50 m/min for 10 minutes, then walked at a speed of 60 m/min for 5 minutes. The distance from his home to the school is 800 meters.

Solution

To solve this problem, we need to calculate the total time Sergey took to reach the school and compare it with the time he has before 8:00 AM.

Let's calculate the time Sergey took to walk from his home to the school:

1. Time taken to walk at a speed of 50 m/min for 10 minutes: - Distance = Speed × Time - Distance = 50 m/min × 10 min = 500 meters - Time taken = 10 minutes

2. Time taken to walk at a speed of 60 m/min for 5 minutes: - Distance = Speed × Time - Distance = 60 m/min × 5 min = 300 meters - Time taken = 5 minutes

Now, let's calculate the total time Sergey took to reach the school:

- Total distance = Distance walked at 50 m/min + Distance walked at 60 m/min - Total distance = 500 meters + 300 meters = 800 meters

- Total time taken = Time taken to walk at 50 m/min + Time taken to walk at 60 m/min - Total time taken = 10 minutes + 5 minutes = 15 minutes

Since the total time taken by Sergey is 15 minutes, we need to check if he has enough time to reach the school by 8:00 AM.

Time Calculation

To determine if Sergey has enough time to reach the school by 8:00 AM, we need to calculate the time remaining after subtracting the time taken by Sergey from 8:00 AM.

- Time remaining = 8:00 AM - Total time taken - Time remaining = 8:00 AM - 15 minutes

Let's calculate the time remaining:

- Time remaining = 8:00 AM - 15 minutes - Time remaining = 7:45 AM

Since the time remaining is 7:45 AM, Sergey has enough time to reach the school by 8:00 AM.

Conclusion

Sergey has enough time to reach the school by 8:00 AM, even after walking at different speeds for different durations. He will reach the school by 7:45 AM, which is 15 minutes before 8:00 AM.

Please note that the calculations assume Sergey walks at a constant speed throughout the given durations.

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