Question

Из двух сел одновременно навстречу друг другу выехали два мотоциклиста. Скорость одного равна 65 км/ч, а другого 70 км/ч. Через час расстояние между ними стало 8 км 500 м. Какое расстояние между селами?

Answer 1

65 км.ч+70км.ч+8км. 500м=143км

Answer 2

Problem Analysis

We have two motorcyclists who start simultaneously from two different villages and travel towards each other. The speed of one motorcyclist is 65 km/h, and the speed of the other is 70 km/h. After one hour, the distance between them is 8 km 500 m. We need to find the distance between the villages.

Solution

To find the distance between the villages, we can use the formula:

Distance = Speed × Time

Let's calculate the time it took for the motorcyclists to meet. Since they started simultaneously and the time is the same for both, we can use the time traveled by one motorcyclist as the total time.

Let's assume the distance between the villages is D km.

For the motorcyclist traveling at 65 km/h: Time1 = Distance / Speed1 = D / 65

For the motorcyclist traveling at 70 km/h: Time2 = Distance / Speed2 = D / 70

Since they traveled for one hour before meeting, the total time is: Total Time = Time1 + Time2 = D / 65 + D / 70

According to the problem, the total time is 1 hour: D / 65 + D / 70 = 1

Now, we can solve this equation to find the value of D, which represents the distance between the villages.

Calculation

Let's solve the equation D / 65 + D / 70 = 1 to find the value of D.

D / 65 + D / 70 = 1
(70D + 65D) / (65 * 70) = 1
(135D) / 4550 = 1
135D = 4550
D = 4550 / 135
D ≈ 33.70 km

Answer

The distance between the villages is approximately 33.70 km.

Conclusion

In this problem, we used the formula Distance = Speed × Time to find the distance between two villages. By solving the equation, we determined that the distance between the villages is approximately 33.70 km.