Question

Два бегуна одновременно стартовали в одном направлении из одного и того же места круговой трассы. Спустя один час, когда одному из них оставались 2 км до окончания первого круга, ему сообщили, что второй бегун прошел первый круг 4 минуты назад. Найдите скорость второго бегуна, если известно, что она на 3 км/ч больше скорости первого. Ответ дайте в км/ч.​

Answer 1

Ответ:

не думаю что правильно ну вот так

Answer 2

Problem Analysis

To solve this problem, we need to find the speed of the second runner. We know that the second runner is 3 km/h faster than the first runner. Additionally, we have information about the distance remaining for the first runner and the time difference between the two runners.

Solution

Let's denote: - Speed of the first runner as x km/h - Speed of the second runner as (x + 3) km/h

We are given that when the first runner had 2 km left to finish the first lap, the second runner had completed the first lap 4 minutes ago. We can use this information to set up an equation.

Calculations

The time it takes for the first runner to complete one lap is given by: Time = Distance / Speed

The time taken by the first runner to complete one lap is 2 km / x km/h. This is also the time difference between the two runners.

The time taken by the second runner to complete one lap is the time taken by the first runner minus 4 minutes (converted to hours).

So, we have the equation: 2 / x = (2πR) / (x + 3) - 4/60

Where R is the radius of the circular track.

Solving for x

We can solve this equation to find the value of x, which represents the speed of the first runner. Once we have the value of x, we can find the speed of the second runner by adding 3 to x.

Let's proceed with solving this equation.