Question

Пять землекопов за 5 часов выкапывают 5 м канавы. Сколько потребуется землекопов, для того чтобы выкопать 100 м канавы за 100 часов?

Answer 1

5/5=1м канавы выкапывают пять землекопов за час
1•100=100м канавы выкапывают пять землекопов за 100 часов
100/5=20 землекопов
Ответ: 20 землекопов

Answer 2

Problem Analysis

To solve this problem, we can use the concept of "worker efficiency" to determine the number of workers needed to complete a task in a given time. The efficiency of the workers can be calculated based on the amount of work they can do in a given time.

Solution

Given: - 5 earthworkers can dig a 5 m trench in 5 hours.

We need to find out how many earthworkers are needed to dig a 100 m trench in 100 hours.

Calculating Worker Efficiency

The efficiency of the workers can be calculated using the formula: \[ \text{Efficiency} = \frac{\text{Work}}{\text{Time}} \]

Using the given information: \[ \text{Efficiency} = \frac{5 \, \text{m}}{5 \, \text{hours}} = 1 \, \text{m/hour} \]

Applying the Efficiency to the New Task

To find the number of workers needed to dig a 100 m trench in 100 hours, we can use the formula: \[ \text{Number of workers} = \frac{\text{Work}}{\text{Efficiency} \times \text{Time}} \]

Substituting the given values: \[ \text{Number of workers} = \frac{100 \, \text{m}}{1 \, \text{m/hour} \times 100 \, \text{hours}} = 1 \]

Answer

It will require 1 earthworker to dig a 100 m trench in 100 hours.