Question

Колонна солдат длиной 250 метров движется со скоростью 4,5 км/час.Из конца колонны в ее начало отправился сержант со скоростью 5,5 км/час,затем с той же скоростью он возвратился в конец колонны.Сколько минут затратил сержант на путь туда и обратно?

Answer 1

Скорость в начало колонны 1 км/ч. 250 метров за 15 минут. обратно - скорость 10 км/ч. 1,5 минуты

Answer 2

Problem Analysis

We are given a column of soldiers that is 250 meters long and is moving at a speed of 4.5 km/h. A sergeant starts from the end of the column and moves towards the front with a speed of 5.5 km/h. After reaching the front, the sergeant returns to the end of the column with the same speed. We need to determine how many minutes the sergeant spent on the round trip.

Solution

To solve this problem, we can use the formula:

Time = Distance / Speed

Let's calculate the time it takes for the sergeant to reach the front of the column and return to the end.

Calculation

The distance from the end of the column to the front is 250 meters. The sergeant's speed is 5.5 km/h, which is equivalent to 5500 meters per hour. Using the formula, we can calculate the time it takes for the sergeant to reach the front:

Time to reach the front = Distance / Speed = 250 meters / 5500 meters per hour

To convert the time to minutes, we need to divide the result by 60:

Time to reach the front in minutes = (250 meters / 5500 meters per hour) / 60

Similarly, the sergeant returns to the end of the column with the same speed. So the time it takes for the sergeant to return to the end is also:

Time to return to the end = Distance / Speed = 250 meters / 5500 meters per hour

To convert the time to minutes, we divide the result by 60:

Time to return to the end in minutes = (250 meters / 5500 meters per hour) / 60

To find the total time spent by the sergeant on the round trip, we add the time to reach the front and the time to return to the end:

Total time spent on the round trip = Time to reach the front in minutes + Time to return to the end in minutes

Let's calculate the result.

Calculation Result

The time it takes for the sergeant to reach the front is approximately 0.027 minutes, and the time it takes for the sergeant to return to the end is also approximately 0.027 minutes. Therefore, the total time spent by the sergeant on the round trip is approximately 0.054 minutes.

Answer

The sergeant spent approximately 0.054 minutes on the round trip.

Note: The above calculations are based on the given information and assumptions.