Question

2 бегуна одновременно стартовали в одном направлении из одного и того же места круговой трассы в беге на несколько кругов. Спустя один час когда одному из них оставалось 3 км до окончания первого круга, ему сообщили, что второй бегун прошел первый круг 9 минут назад. Найдите скорость первого бегуна, если известно, что он на 6 км/ч меньше скорости второго. ​

Answer 1

Ответ:

Объяснение:

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Answer 2

Problem Analysis

We have two runners who start simultaneously from the same point on a circular track and run for several laps. After one hour, when one of the runners has 3 km left to complete the first lap, they are informed that the second runner completed the first lap 9 minutes ago. We need to find the speed of the first runner, given that their speed is 6 km/h slower than the speed of the second runner.

Solution

Let's assume the speed of the second runner is x km/h. Therefore, the speed of the first runner is x - 6 km/h.

We can set up an equation based on the information given. The first runner runs for one hour, so they have completed x - 6 km. The second runner completed the first lap 9 minutes ago, which means they have run for 1 hour and 9 minutes. In terms of hours, this is 1 + 9/60 hours. Therefore, the second runner has completed x km.

Using this information, we can set up the equation:

Distance covered by the first runner = Distance covered by the second runner

Speed of the first runner * Time taken by the first runner = Speed of the second runner * Time taken by the second runner

Let's solve this equation to find the speed of the first runner.

Calculation

The equation we need to solve is:

(x - 6) * 1 = x * (1 + 9/60)

Simplifying the equation:

x - 6 = x + 9/60

-6 = 9/60

x = 14

Therefore, the speed of the first runner is 14 km/h.

Answer

The speed of the first runner is 14 km/h.