Question

Некий господин позвал плотника и велел построить двор. Дал ему 20 работников и спросил, в сколько дней поставят они его двор. Плотник ответил: в 30 дней. А господину надобно в 5 дней построить, и ради того спросил он плотника: сколько человек тебе надо иметь, дабы с ними ты построил двор в 5 дней? И плотник, недоумевая, спрашивает тебя, арифметик: сколько ему надо иметь человек, чтобы построить двор в 5 дней?

Answer 1

Работников должно быть во столько раз большой, во сколько раз быстрее необходимо построить
30/5 = х/20
600 = 5х
х = 600/5
х=120

Ответ 120 дней

Answer 2

The Problem

A gentleman has called a carpenter and instructed him to build a courtyard. He has given the carpenter 20 workers and asked him how many days it will take to build the courtyard. The carpenter replied, "30 days." However, the gentleman needs the courtyard to be built in 5 days and asks the carpenter how many workers he needs in order to complete the courtyard in 5 days. The carpenter, puzzled, asks you, the mathematician, how many workers he needs to build the courtyard in 5 days.

Solution

To solve this problem, we can use the concept of "man-days." A man-day represents the amount of work one person can complete in one day. If we assume that each worker has the same productivity, we can calculate the total number of man-days required to complete the courtyard in 30 days.

Let's denote the number of workers needed to build the courtyard in 30 days as "x." Since the carpenter initially estimated that he would need 30 days with 20 workers, we can set up the following equation:

20 workers * 30 days = x workers * 5 days

Simplifying the equation, we get:

600 man-days = 5x man-days

Dividing both sides of the equation by 5, we