Question

Два 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 4 км до окончания первого круга, ему сообщили, что второй бегун прошёл первый круг 6 минут назад. Найдите скорость первого бегуна , если известно, что она на 6 км/ч меньше скорости второго

Answer 1

(Х+6)9/10=х+4
9х+54/10+х+4
Х=14

Answer 2

Problem Analysis

Two runners start simultaneously from the same point on a circular track and run for several laps. After one hour, when one of them has 4 km left to complete the first lap, they are informed that the second runner completed the first lap 6 minutes ago. We need to find the speed of the first runner, given that it 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. According to the problem, the speed of the first runner is 6 km/h slower, so it is (x - 6) km/h.

We know that the distance covered by a runner in one hour is equal to their speed. Therefore, the distance covered by the second runner in one hour is x km, and the distance covered by the first runner in one hour is (x - 6) km.

After one hour, the second runner has completed the first lap, which means they have covered the entire distance of the circular track, which we'll call D km. The first runner, on the other hand, has 4 km left to complete the first lap.

To find the distance of the first lap, we can subtract the remaining distance of the first runner from the total distance of the circular track: D - 4 km.

We are given that the second runner completed the first lap 6 minutes ago. Since we know the speed of the second runner is x km/h, we can calculate the distance covered by the second runner in 6 minutes (0.1 hours): 0.1x km.

Since the distance covered by the second runner in 6 minutes is equal to the distance of the first lap, we can set up the following equation: D - 4 = 0.1x.

Now, we can solve this equation to find the value of x, which represents the speed of the second runner. Once we have the value of x, we can calculate the speed of the first runner, which is (x - 6) km/h.

Let's solve the equation:

D - 4 = 0.1x

To solve for x, we need to know the value of D, the total distance of the circular track. Unfortunately, the problem statement does not provide this information. Without the value of D, we cannot find the exact speeds of the runners.

If you have any additional information or if there is anything else I can help you with, please let me know!