
Бегун Коля знает что через каждые 400 м от старта стоит наблюдатель а через каждые 700м от старта
можно попить воды. на каком расстоянии от старта можно попить воды и задать вопрос наблюдателю

Ответы на вопрос

отвтет на 280км можно будет попить воды и задать свой вопрос.



Calculation of the Distance to the Water Point and the Observer
To determine the distance from the start at which the runner Kolya can drink water and ask a question to the observer, we need to find the least common multiple (LCM) of the distances between the observer and the water point.
The observer is located every 400 meters from the start, while the water point is located every 700 meters from the start.
The LCM of 400 and 700 will give us the distance at which both the observer and the water point coincide.
To calculate the LCM, we can use the following formula:
LCM(a, b) = (a * b) / GCD(a, b)
where LCM is the least common multiple, a and b are the given numbers, and GCD is the greatest common divisor.
Let's calculate the LCM of 400 and 700:
LCM(400, 700) = (400 * 700) / GCD(400, 700)
To find the GCD of 400 and 700, we can use the Euclidean algorithm.
GCD(400, 700) = GCD(700, 400 % 700) = GCD(700, 400)
GCD(700, 400) = GCD(400, 700 % 400) = GCD(400, 300)
GCD(400, 300) = GCD(300, 400 % 300) = GCD(300, 100)
GCD(300, 100) = GCD(100, 300 % 100) = GCD(100, 0)
Since the remainder is 0, the GCD is 100.
Now we can substitute the GCD into the LCM formula:
LCM(400, 700) = (400 * 700) / 100 = 2800 meters
Therefore, Kolya can drink water and ask a question to the observer at a distance of 2800 meters from the start.
Please note that the sources provided did not contain specific information about this scenario. The calculation is based on mathematical principles and does not require external sources.


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