
Как решить задачу?человек за 25 минут прошел 1,2 км, затем отдыхал 30 минут,а затем побежал еще 800
метров за 5 минут. какова была его средняя скорость на всем пути? какова былабы его средняя скорость, если бы он не отдыхал?

Ответы на вопрос




Problem Analysis
To solve this problem, we need to calculate the average speed of a person who walks 1.2 km in 25 minutes, rests for 30 minutes, and then runs an additional 800 meters in 5 minutes. We also need to calculate the average speed if the person did not take a rest.
Solution
To find the average speed, we can use the formula:
Average Speed = Total Distance / Total Time
Let's calculate the average speed step by step.
1. Calculate the total distance covered: - The person walks 1.2 km. - Then the person runs an additional 800 meters. - So the total distance covered is 1.2 km + 0.8 km = 2 km.
2. Calculate the total time taken: - The person walks for 25 minutes. - Then the person rests for 30 minutes. - Finally, the person runs for 5 minutes. - So the total time taken is 25 minutes + 30 minutes + 5 minutes = 60 minutes.
3. Convert the total time to hours: - 60 minutes is equal to 1 hour.
4. Calculate the average speed: - Average Speed = Total Distance / Total Time - Average Speed = 2 km / 1 hour - Average Speed = 2 km/h
Therefore, the person's average speed for the entire journey, including the rest, is 2 km/h.
Now, let's calculate the average speed if the person did not take a rest.
1. Calculate the total distance covered: - The person walks 1.2 km. - Then the person runs an additional 800 meters. - So the total distance covered is 1.2 km + 0.8 km = 2 km.
2. Calculate the total time taken: - The person walks for 25 minutes. - Then the person runs for 5 minutes. - So the total time taken is 25 minutes + 5 minutes = 30 minutes.
3. Convert the total time to hours: - 30 minutes is equal to 0.5 hours.
4. Calculate the average speed: - Average Speed = Total Distance / Total Time - Average Speed = 2 km / 0.5 hours - Average Speed = 4 km/h
Therefore, if the person did not take a rest, the average speed would be 4 km/h.
Conclusion
In conclusion, the person's average speed for the entire journey, including the rest, is 2 km/h. If the person did not take a rest, the average speed would be 4 km/h.


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