Question

Чук и Гек вышли одновременно навстречу друг другу и встретились через 6 мин. Скорость Чука 50 м/мин, а скорость Гека 40 м/мин. Какое расстояние было между ними вначале? На каком расстоянии друг от друга они находились через 4 мин после выхода?

Answer 1

1) 50*6=300 (м) -расст  прошел Чук.

2) 40* 6=240 (м) - расст  прошел Гек.

3) 300+240=540(м) - расстояние.

4) 50*4=200 (м) - Чук прошел через 4 минуты.

5)  40*4=160 (м) - Гек прошел через 4 минуты.

6) 200+160=360 (м) - они оба прошли через 4 минуты.

 7) 540-360=180 (м) - расстояние через 4 минуты.

Ответ: расстояние было 540 метров. Через 4 минуты они были на расстоянии 180 метров.

 

Answer 2

Problem Analysis

To solve this problem, we can use the concept of relative speed. When two objects are moving towards each other, their relative speed is the sum of their individual speeds. We can use this concept to find the initial distance between Chuk and Gek and the distance between them after 4 minutes.

Initial Distance Calculation

The initial distance between Chuk and Gek can be calculated using the formula: Initial distance = (Chuk's speed + Gek's speed) * time

Given: - Chuk's speed = 50 m/min - Gek's speed = 40 m/min - Time taken to meet = 6 min

Using the given values: Initial distance = (50 + 40) * 6 Initial distance = 90 * 6 Initial distance = 540 meters

The initial distance between Chuk and Gek was 540 meters.

Distance After 4 Minutes

To find the distance between Chuk and Gek after 4 minutes, we can use the formula: Distance after 4 minutes = Initial distance - (Chuk's speed * 4) - (Gek's speed * 4)

Given: - Initial distance = 540 meters - Chuk's speed = 50 m/min - Gek's speed = 40 m/min - Time = 4 minutes

Using the given values: Distance after 4 minutes = 540 - (50 * 4) - (40 * 4) Distance after 4 minutes = 540 - 200 - 160 Distance after 4 minutes = 180 meters

They were 180 meters apart from each other after 4 minutes.