Question

Два токаря совместно выполнили работу за 36 мин. первый токарь, работая один, выполнит ту же работу за 1 ч. за сколько второй токарь выполнит эту работу, работая один?

Answer 1

1)1: 36=1/36 часть работы будет выполнена за 1 минуту обоими токарями 
2) 1: 60 = 1/60 часть работы будет выполнена за 1 минуту 1 токарь  60 мин=1 час
3) 1/36-1/60= 1/90 часть работы будет выполнена за 1 минуту 2 токарем
4) 1:1/90=за 90 минут или 1,5 часа 2 токарь выполнит всю работу,если будет работать один.

Answer 2

За 1 мин первый токарь выполняет 1/60 часть работы
найдем какую часть работы за 1 минуту выполнит второй токарь

Всю работу второй токарь выполнит 90/90:1/90=90 минут=1,5 часа
Ответ: за 1,5 часа второй токарь выполнит эту работу один

Answer 3

Problem Analysis

We are given that two lathe operators completed a job together in 36 minutes. The first operator would complete the same job in 1 hour (60 minutes) if working alone. We need to determine how long the second operator would take to complete the job working alone.

Solution

Let's assume that the second operator takes x minutes to complete the job working alone.

From the given information, we can set up the following equation based on the concept of work done:

Work done by the first operator + Work done by the second operator = Total work done

The work done by the first operator is equal to the work done by the second operator when they work together, which is 1 job.

Therefore, we can write the equation as:

1/60 + 1/x = 1/36

To solve this equation, we can multiply both sides by the least common multiple (LCM) of the denominators, which is 1080x:

18x + 1080 = 30x

Simplifying the equation:

12x = 1080

Dividing both sides by 12:

x = 90

Therefore, the second operator would take 90 minutes to complete the job working alone.

Answer

The second operator would take 90 minutes to complete the job working alone.