Question

Из двух посёлков выехали одновременно навстречу друг другу мотоциклист и автомобилист. мотоциклист ехал со скоростью 40 км в час, а автомобиль 80 км в час. через два они встретились. Найдите расстояние между посёлками

Answer 1

40*2 =80 расстояние мотоц.
89*2=160 расстояние авт.
80+160=240км вот легкотнЯ

Answer 2

Problem Analysis

We are given that a motorcyclist and a motorist start from two different villages simultaneously and travel towards each other. The motorcyclist is traveling at a speed of 40 km/h, while the motorist is traveling at a speed of 80 km/h. We need to find the distance between the two villages.

Solution

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

Distance = Speed x Time

Let's calculate the time it takes for the motorcyclist and the motorist to meet.

The time taken by the motorcyclist can be calculated using the formula:

Time = Distance / Speed

Similarly, the time taken by the motorist can be calculated using the same formula.

Since both the motorcyclist and the motorist start at the same time and meet after two hours, we can set up the following equation:

Time taken by motorcyclist + Time taken by motorist = 2 hours

Let's calculate the time taken by the motorcyclist and the motorist.

Calculation

Time taken by the motorcyclist: Time = Distance / Speed = Distance / 40 km/h

Time taken by the motorist: Time = Distance / Speed = Distance / 80 km/h

According to the given information, the motorcyclist and the motorist meet after two hours:

Distance / 40 km/h + Distance / 80 km/h = 2 hours

To solve this equation, we can multiply both sides by 40 to eliminate the denominators:

2 * Distance + Distance = 80

Simplifying the equation:

3 * Distance = 80

Dividing both sides by 3:

Distance = 80 / 3

Therefore, the distance between the two villages is approximately 26.67 kilometers.

Answer

The distance between the two villages is approximately 26.67 kilometers.