
Первый маляр , работая один, выполняет покраску объекта за 12 дней , а второй маляр, работая один,
выполняет эту же покраску за 6 дней.За сколько дней выполнят покраску этого объекта оба маляра , работая вместе ?

Ответы на вопрос







Calculation of Painting Time for Each Painter
To determine how long it would take for both painters to complete the painting job together, we first need to calculate the time it takes for each painter to complete the job individually.According to the information provided, the first painter can complete the painting of the object in 12 days when working alone, while the second painter can complete the same painting job in 6 days when working alone.
Calculation of Combined Painting Time
To calculate the combined painting time for both painters, we can use the concept of work rates. The work rate is inversely proportional to the time taken to complete a task. Therefore, the work rate of each painter can be calculated as the reciprocal of the time taken by each painter to complete the job.The work rate of the first painter is 1/12 (1 painting job in 12 days), and the work rate of the second painter is 1/6 (1 painting job in 6 days).
To calculate the combined work rate when both painters work together, we can add their individual work rates:
Combined Work Rate = Work Rate of Painter 1 + Work Rate of Painter 2
Combined Work Rate = 1/12 + 1/6
Simplifying the equation:
Combined Work Rate = 1/12 + 2/12
Combined Work Rate = 3/12
Combined Work Rate = 1/4
The combined work rate of both painters is 1/4, which means they can complete 1/4 of the painting job in one day when working together.
To calculate the number of days required to complete the entire painting job, we can use the formula:
Number of Days = 1 / Combined Work Rate
Substituting the combined work rate value:
Number of Days = 1 / (1/4)
Simplifying the equation:
Number of Days = 4
Therefore, both painters working together can complete the painting job in 4 days.
Conclusion
Based on the given information, the first painter takes 12 days to complete the painting job alone, the second painter takes 6 days to complete the job alone, and both painters working together can complete the job in 4 days.

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