Question

Три отряда гвардейцев по 4 человека за 8 ч уничтожили 20 вражеских пушек. Сколько отрядов по 6 человек, действуя с той же результативностью, уничтожат 15 пушек за 4 ч?

Answer 1

Три отряда по 6 человек за 8 часа уничтожат 30 пушек.
Значит 3 отряда по 6 человек за 4 часа уничтожат 15 пушек.
Это и есть ответ.

Answer 2

Problem Analysis

We are given that three squads of guards, each consisting of four people, destroyed 20 enemy cannons in 8 hours. We need to determine how many squads, each consisting of six people, would be able to destroy 15 enemy cannons in 4 hours, assuming the same level of effectiveness.

Solution

To solve this problem, we can use the concept of "man-hours." The number of man-hours is calculated by multiplying the number of people by the number of hours. Since the squads are assumed to have the same level of effectiveness, the total man-hours required to destroy the cannons should remain constant.

Let's calculate the total man-hours required to destroy the 20 enemy cannons in 8 hours using the given information:

Total man-hours = Number of squads * Number of people per squad * Number of hours

Given: - Number of squads = 3 - Number of people per squad = 4 - Number of hours = 8

Total man-hours = 3 * 4 * 8 = 96 man-hours

Now, we need to determine how many squads, each consisting of six people, would be able to destroy 15 enemy cannons in 4 hours. Let's calculate the number of squads using the total man-hours:

Number of squads = Total man-hours / (Number of people per squad * Number of hours)

Given: - Total man-hours = 96 - Number of people per squad = 6 - Number of hours = 4

Number of squads = 96 / (6 * 4) = 4 squads

Therefore, four squads, each consisting of six people, would be able to destroy 15 enemy cannons in 4 hours, assuming the same level of effectiveness.

Answer

Four squads, each consisting of six people, would be able to destroy 15 enemy cannons in 4 hours, assuming the same level of effectiveness.

Note: The information provided in this response is based on calculations using the given data.