Question

Помагите пожалуйста!!! Два человека одновременно отправляются из одного и того же места по одной дороге на прогулку до опушки леса, находящейся в 3,6 км от места отправления. Один идет со скоростью 2,7 км/ч, а другой - со скоростью 4,5 км/ч. Дойдя до опушки, второй с той же скоростью возвращается обратно. На каком расстоянии от точки отправления произойдет их встреча?

Answer 1

2-й дойдёт до опушки через t2=3,3:4,5 = 0,8 ч
1-й за это время пройдёт  S1 = 0,8*2,7=2,16 км
Осталось до встречи им пройти  S-S1= 3,6 -2,16 = 1,44 км
Они идут на встречу, значит общая скорость будет 2,7+4,5=7,2 км/ч
И они до встречи пройдут t3 = 1,44:7,2= 0,2 ч
За это время 1-й пройдёт  путь = 0,2*2,7 = 0,54 км
И всего он от точки отправления пройдёт  2,16+0,54=2,7 км

Ответ:их встреча произойдёт  на расстоянии 2,7 км от точки отправления.

Answer 2

Calculating the Meeting Point of Two Individuals

To calculate the meeting point of the two individuals, we can use the concept of relative speed and time. Let's break it down step by step.

1. Calculate the Time Taken by Each Individual to Reach the Clearing: - The first individual walks at a speed of 2.7 km/h, and the distance to the clearing is 3.6 km. - Using the formula: time = distance / speed, we can calculate the time taken by the first individual to reach the clearing. - Similarly, we can calculate the time taken by the second individual to reach the clearing at a speed of 4.5 km/h.

2. Calculate the Time of Meeting: - Once we have the time taken by each individual to reach the clearing, we can find out when the second individual starts walking back from the clearing. - The time of meeting will be the time when the second individual starts walking back plus the time taken by the first individual to reach the clearing.

3. Calculate the Distance of Meeting Point from the Starting Point: - With the time of meeting known, we can calculate the distance covered by each individual until they meet.

Let's proceed with the calculations based on the given information.

Calculations

1. Time Taken by the First Individual: - Time taken = distance / speed - Time taken by the first individual = 3.6 km / 2.7 km/h = 1.33 hours

2. Time Taken by the Second Individual: - Time taken by the second individual to reach the clearing = 3.6 km / 4.5 km/h = 0.8 hours

3. Time of Meeting: - The second individual starts walking back from the clearing after 0.8 hours. - Time of meeting = 0.8 hours + 1.33 hours = 2.13 hours

4. Distance of Meeting Point from the Starting Point: - Distance covered by the first individual = speed * time - Distance covered by the first individual = 2.7 km/h * 2.13 hours = 5.751 km

- Distance covered by the second individual = speed * time - Distance covered by the second individual = 4.5 km/h * 0.8 hours = 3.6 km

- The meeting point is 5.751 km from the starting point.

Therefore, the meeting point of the two individuals is approximately 5.751 km from the starting point.