первая бригада на посев кукурузы затратила 16 дней. вторая бригада на этот же посев затратила 12
дней. за сколько дней мсогут выполнить работу обе бригады, работая вместе?Ответы на вопрос
Ответ:
за 7 дней
Пошаговое объяснение:
1) 1 : 16 = 1/16 (часть) - работы выполняет за 1 день 1 бригада
2) 1 : 12 = 1/12 (часть) - работы выполняет за 1 день 2 бригада
3) 1/16 + 1/12 = 3/48 + 4/48 = 7/48 (часть) - всей работы выполняют за 1 день две бригады работая вместе
4) 1 : 7/48 = 1 * 48/7 = 48/7 = 6 6/7 = 7 (дней) - выполнят всю работу две бригады работая вместе
Ответ:
1:16=1/16
1:12=1/12
1/16+1/12=7/48
1:7/48=6 6/7=7
за 7 дней
Calculation of Days Required by Each Brigade
To determine how many days it would take for both brigades to complete the work together, we first need to calculate the efficiency of each brigade.
The first brigade took 16 days to complete the corn planting, while the second brigade took 12 days for the same task.
Calculation of Efficiency
To calculate the efficiency of each brigade, we can use the formula:
Efficiency = Work Done / Time Taken
For the first brigade: Efficiency of the first brigade = 1 / 16 = 0.0625
For the second brigade: Efficiency of the second brigade = 1 / 12 = 0.0833
Calculation of Combined Efficiency
To calculate the combined efficiency of both brigades working together, we can add their individual efficiencies:
Combined efficiency = Efficiency of the first brigade + Efficiency of the second brigade
Combined efficiency = 0.0625 + 0.0833 = 0.1458
Calculation of Time Required for Both Brigades to Complete the Work Together
To calculate the time required for both brigades to complete the work together, we can use the formula:
Time Required = Work Done / Combined Efficiency
Since both brigades are working on the same task, the work done is the same for both. Let's assume the work done is 1 (unit).
Time required for both brigades to complete the work together = 1 / 0.1458 ≈ 6.87 days
Therefore, both brigades can complete the work together in approximately 6.87 days.
Please note that the above calculations assume that the efficiency of each brigade remains constant throughout the work. Factors such as fatigue, coordination, and other variables may affect the actual time required.
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