Question

Два велосипедиста выехали из двух посёлков одновременно навстречу друг другу и встретились через 0,6 часов. Скорость одного 11километров в час, другого- 14 километров в час. Чему равно расстояние между посёлками?

Answer 1

11 + 14 = 25 км/ч - скорость сближения
25 * 0,6 = 15 км- расстояние между поселками

Answer 2

Problem Analysis

We have two cyclists who start from two different villages simultaneously and meet each other after 0.6 hours. The speed of one cyclist is 11 kilometers per hour, while the speed of the other cyclist is 14 kilometers per hour. 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 distance traveled by each cyclist and then find the total distance between the villages.

1. Calculate the distance traveled by the first cyclist: - Speed of the first cyclist = 11 kilometers per hour - Time taken = 0.6 hours - Distance = Speed × Time = 11 km/h × 0.6 h = 6.6 kilometers

2. Calculate the distance traveled by the second cyclist: - Speed of the second cyclist = 14 kilometers per hour - Time taken = 0.6 hours - Distance = Speed × Time = 14 km/h × 0.6 h = 8.4 kilometers

3. Find the total distance between the villages: - Total distance = Distance traveled by the first cyclist + Distance traveled by the second cyclist - Total distance = 6.6 kilometers + 8.4 kilometers = 15 kilometers

Therefore, the distance between the villages is 15 kilometers.

Answer

The distance between the two villages is 15 kilometers.

Verification

Let's verify the answer using the given information.

- The first cyclist travels at a speed of 11 kilometers per hour for 0.6 hours, covering a distance of 6.6 kilometers. - The second cyclist travels at a speed of 14 kilometers per hour for 0.6 hours, covering a distance of 8.4 kilometers. - The total distance covered by both cyclists is 6.6 kilometers + 8.4 kilometers = 15 kilometers.

The calculated distance matches the information provided, confirming that the answer is correct.