Question

Два автомобиля едут по кольцевой дороге в одном направлении с постоянными скоростями. Один автомобиль обгоняет другой ровно один раз в час. Более быстрый автомобиль удвоил свою скорость. Может ли он теперь обгонять другой автомобиль ровно раз в минуту.

Answer 1

1раз/1час=1раз/60мин
чтобы он обгонял второй автомобиль нужно чтоб она увеличила скорость в 60 раз
ответ не может

Answer 2

Problem Analysis

We have two cars traveling in the same direction on a circular road. One car overtakes the other exactly once every hour. The faster car has doubled its speed. We need to determine if the faster car can now overtake the slower car exactly once every minute.

Solution

To solve this problem, let's consider the initial scenario where the faster car is traveling at speed v and the slower car is traveling at speed u. The faster car overtakes the slower car exactly once every hour.

Let's assume that the length of the circular road is L.

When the faster car overtakes the slower car, it covers a distance equal to the length of the circular road plus the distance traveled by the slower car during that hour.

The time it takes for the faster car to overtake the slower car is given by the equation:

Time = Distance / Speed

For the initial scenario, the time it takes for the faster car to overtake the slower car is:

Time = (L + u) / v Now, let's consider the scenario where the faster car has doubled its speed. The new speed of the faster car is 2v.

The time it takes for the faster car to overtake the slower car in this scenario is:

Time = (L + u) / (2v) To determine if the faster car can now overtake the slower car exactly once every minute, we need to compare the times calculated in equations and.

If the time calculated in equation is less than or equal to 1 minute, then the faster car can overtake the slower car exactly once every minute. Otherwise, it cannot.

Let's calculate the time in equation and compare it to 1 minute.

Calculation

Given that the faster car has doubled its speed, the new speed of the faster car is 2v.

Using equation the time it takes for the faster car to overtake the slower car is:

Time = (L + u) / (2v)

Since we don't have specific values for L and u, we cannot calculate the exact time. However, we can make a general comparison.

If we assume that the length of the circular road L and the distance traveled by the slower car u are both positive values, then the time calculated in equation will be greater than the time calculated in equation.

Therefore, it is not possible for the faster car to overtake the slower car exactly once every minute.

Conclusion

Based on the analysis and calculation, the faster car cannot overtake the slower car exactly once every minute, even after doubling its speed.

Please let me know if you need any further clarification.