
Первый рабочий работая один выполняет некоторую работу за 3,5 дня, а работая совместно со вторым
рабочим выполняет эту же работу 2,5 дня. За сколько дней выполнят эту работу второй рабочий работая один .

Ответы на вопрос




Problem Statement:
The first worker completes a certain task in 3.5 days when working alone, but when working together with the second worker, they complete the same task in 2.5 days. How many days will it take for the second worker to complete this task working alone?Solution:
Let's assume that the first worker's efficiency is represented by x (in terms of the fraction of the task completed per day) and the second worker's efficiency is represented by y.According to the given information, the first worker completes the task in 3.5 days when working alone, so their efficiency can be calculated as 1/3.5. Similarly, when working together with the second worker, they complete the task in 2.5 days, so their combined efficiency can be calculated as 1/2.5.
To find the efficiency of the second worker, we can subtract the efficiency of the first worker from the combined efficiency of both workers:
y = 1/2.5 - 1/3.5
Now, we can calculate the number of days it will take for the second worker to complete the task working alone by using their efficiency:
1/y
Let's calculate the value of y and then find the number of days for the second worker to complete the task.
Calculation:
Using the given information, we can calculate the efficiency of the second worker:y = 1/2.5 - 1/3.5
Simplifying the expression:
y = 14/35 - 10/35
y = 4/35
Now, we can calculate the number of days it will take for the second worker to complete the task working alone:
1/y = 1/(4/35) = 35/4 = 8.75 days
Therefore, it will take the second worker approximately 8.75 days to complete the task working alone.
Answer:
The second worker will complete the task working alone in approximately 8.75 days.

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