Question

С двух баз, расстояние между которыми 27 км., одновременно навстречу друг другу вышли два отряда.Скорость первого отряда-4 км/ч, второго-5 км/ч.Через сколько часов отряды встретятся?

Answer 1

1) 4 + 5 = 9 (км/ч) - скорость сближения двух отрядов;
2) 27 : 9 = 3 (ч) - через 3 часа отряды встретятся.
Выражение: 27 : (4 + 5) = 3
Ответ: через 3 часа.

Answer 2

4 + 5 = 9 км/час. скорость сближения отрядов.
 27 : 9 = 3 часа  пройдёт до встречи отрядов.

Answer 3

Problem Analysis

We are given two squads that start simultaneously from two bases, with a distance of 27 km between them. The first squad has a speed of 4 km/h, and the second squad has a speed of 5 km/h. We need to determine how many hours it will take for the squads to meet.

Solution

To solve this problem, we can use the formula: time = distance / speed.

Let's calculate the time it will take for each squad to reach the meeting point.

The first squad travels at a speed of 4 km/h. The distance it needs to cover to reach the meeting point is 27 km. Using the formula, we can calculate the time it will take for the first squad to reach the meeting point:

time for first squad = distance / speed = 27 km / 4 km/h.

Similarly, the second squad travels at a speed of 5 km/h. The distance it needs to cover to reach the meeting point is also 27 km. Using the formula, we can calculate the time it will take for the second squad to reach the meeting point:

time for second squad = distance / speed = 27 km / 5 km/h.

To find the total time it will take for the squads to meet, we need to find the maximum of the two times calculated above. This is because the squads are traveling towards each other, and the meeting will occur when the slower squad reaches the meeting point.

Let's calculate the total time it will take for the squads to meet:

total time = maximum(time for first squad, time for second squad).

Now, let's substitute the values and calculate the total time:

total time = maximum(27 km / 4 km/h, 27 km / 5 km/h).

Calculation

Using the above formula, we can calculate the total time it will take for the squads to meet:

total time = maximum(6.75 hours, 5.4 hours).

The maximum of the two times is 6.75 hours.

Answer

Therefore, the squads will meet after approximately 6.75 hours.

Note: The above calculation assumes that the squads maintain a constant speed throughout their journey and that there are no other factors that could affect their speed or the meeting time.