
Из двух населенных пунктов Одновременно навстречу друг другу выехали два велосипедиста Скорость
одного 14 метров а другой 10 километров какое расстояние между населенными пунктами Если через 3 часа велосипедисты вмтретились?На сколько километров они станут ближе через час? через полчаса?

Ответы на вопрос




Problem Analysis
We have two cyclists who start simultaneously from two different locations and are traveling towards each other. The speed of one cyclist is 14 meters per hour, and the speed of the other cyclist is 10 kilometers per hour. We need to find the distance between the two locations, as well as how much closer they will be after 1 hour and after 30 minutes.Solution
To find the distance between the two locations, we can use the formula:Distance = Speed × Time
Let's calculate the distance between the two locations.
Calculation
The speed of the first cyclist is given as 14 meters per hour, and the speed of the second cyclist is given as 10 kilometers per hour. To calculate the distance, we need to convert the speed of the second cyclist from kilometers per hour to meters per hour.1 kilometer = 1000 meters
Therefore, the speed of the second cyclist is 10,000 meters per hour.
Now, let's calculate the distance between the two locations using the formula:
Distance = Speed × Time
Given that the cyclists meet after 3 hours, we can calculate the distance:
For the first cyclist: Speed = 14 meters per hour Time = 3 hours
Distance1 = 14 meters per hour × 3 hours
For the second cyclist: Speed = 10,000 meters per hour Time = 3 hours
Distance2 = 10,000 meters per hour × 3 hours
To find the total distance between the two locations, we can add the distances traveled by both cyclists:
Total Distance = Distance1 + Distance2
Now, let's calculate the total distance.
Calculation
For the first cyclist: Distance1 = 14 meters per hour × 3 hoursFor the second cyclist: Distance2 = 10,000 meters per hour × 3 hours
Total Distance = Distance1 + Distance2
Answer
The distance between the two locations is the total distance traveled by both cyclists.Total Distance = Distance1 + Distance2
Now, let's calculate the total distance.
Calculation
For the first cyclist: Distance1 = 14 meters per hour × 3 hoursDistance1 = 42 meters
For the second cyclist: Distance2 = 10,000 meters per hour × 3 hours
Distance2 = 30,000 meters
Total Distance = Distance1 + Distance2
Total Distance = 42 meters + 30,000 meters
Total Distance = 30,042 meters
Therefore, the distance between the two locations is 30,042 meters.
Now, let's calculate how much closer the cyclists will be after 1 hour and after 30 minutes.
Calculation
After 1 hour, the first cyclist will have traveled 14 meters, and the second cyclist will have traveled 10,000 meters.Therefore, the difference in distance between the two cyclists after 1 hour is:
Difference = 10,000 meters - 14 meters
Difference = 9,986 meters
After 30 minutes (0.5 hours), the first cyclist will have traveled 7 meters, and the second cyclist will have traveled 5,000 meters.
Therefore, the difference in distance between the two cyclists after 30 minutes is:
Difference = 5,000 meters - 7 meters
Difference = 4,993 meters
Answer
After 1 hour, the cyclists will be 9,986 meters closer to each other.After 30 minutes, the cyclists will be 4,993 meters closer to each other.
Therefore, the cyclists will be 9,986 meters closer to each other after 1 hour and 4,993 meters closer to each other after 30 minutes.


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