Question

Задача. Велосипедист проедет расстояние между поселками за 80 мин, а мотоциклист за 20. Через сколько минут они встретятся если выедут одновременно из этих поселков на встречу друг другу

Answer 1

Расстояние между посёлками примем за единицу = 1 (целое)
1) 1 : 80 = 1/80 часть расстояния проедет велосипедист за 1 минуту;
2) 1 : 20 = 1/20 часть расстояния проедет мотоциклист за 1 минуту;
3) 1/80 + 1/20 = 1/80 + 4/80 = 5/80 = 1/16 часть расстояния проедут вместе навстречу друг другу за 1 минуту;
4) 1 : 1/16 = 1 * 16/1 = 16 (мин) - через 16 минут они встретятся.
Ответ: через 16 минут.

Answer 2

Task Analysis

The task requires determining the time at which a cyclist and a motorcyclist, traveling towards each other from two different towns, will meet. The cyclist covers the distance in 80 minutes, while the motorcyclist covers it in 20 minutes.

Solution

To solve this problem, we can use the concept of relative speed. The relative speed of the cyclist and the motorcyclist is the sum of their individual speeds when traveling towards each other.

The formula to calculate the time taken to meet is: Time = Distance / Relative Speed

Calculation

Given: - Time taken by the cyclist = 80 minutes - Time taken by the motorcyclist = 20 minutes

Let's denote: - Distance between the towns as D - Speed of the cyclist as C - Speed of the motorcyclist as M

The relative speed of the cyclist and the motorcyclist is C + M.

Using the formula: Time = Distance / Relative Speed

We can solve for the time it takes for them to meet.

Result

The time at which they will meet can be calculated using the formula: Time = Distance / (C + M)

Let's proceed with the calculation.