Question

из двух посёлков Одновременно навстречу друг другу выехали велосипедист и мотоциклист скорость велосипедиста 13,4 км/час. скорость мотоциклиста в 4 раза больше Через 2,2 часа расстояние между велосипедистом и мотоциклистом стало 12,8 км Найдите расстояние между посёлками​

Answer 1

А -------------------------------------- ? км ----------------------------------- В

-----> 13,4 км/ч                  >  |12,8 км| <                   ? км/ч <-----

1) 13,4 · 4 = 53,6 (км/ч) - скорость мотоциклиста;

2) 13,4 + 53,6 = 67 (км/ч) - скорость сближения;

3) 67 · 2,2 = 147,4 (км) - проедут вместе за 2,2 ч;

4) 147,4 + 12,8 = 160,2 (км) - расстояние между посёлками.

Ответ: 160 км 200 м.

Answer 2

Problem Analysis

We are given that a cyclist and a motorcyclist start simultaneously from two villages towards each other. The speed of the cyclist is 13.4 km/h, and the speed of the motorcyclist is 4 times greater. After 2.2 hours, the distance between them becomes 12.8 km. We need to find the distance between the two villages.

Solution

Let's denote the distance between the two villages as d.

We know that the speed of the cyclist is 13.4 km/h, and the speed of the motorcyclist is 4 times greater. Therefore, the speed of the motorcyclist is 4 * 13.4 = 53.6 km/h.

After 2.2 hours, the distance covered by the cyclist is 13.4 km/h * 2.2 h = 29.48 km.

Similarly, the distance covered by the motorcyclist is 53.6 km/h * 2.2 h = 117.92 km.

The total distance covered by both of them is 29.48 km + 117.92 km = 147.4 km.

We are given that the distance between them after 2.2 hours is 12.8 km.

Therefore, the distance between the two villages is 147.4 km + 12.8 km = 160.2 km.

Answer

The distance between the two villages is 160.2 km.