
Первая бригада может отремонтировать дорогу за 90 дней,а вторая - за 45 дней.За сколько дней будет
закончен ремонт этой дороги, если обе бригады будут работать совместно?

Ответы на вопрос




Calculation of Road Repair Time
To determine how long it will take to complete the road repair when both the first and second brigades work together, we need to calculate their combined efficiency.
Let's denote the time taken by the first brigade to repair the road as T1 (90 days) and the time taken by the second brigade as T2 (45 days).
The formula to calculate the combined efficiency is as follows:
Combined Efficiency = (T1 * T2) / (T1 + T2)
Substituting the given values, we have:
Combined Efficiency = (90 * 45) / (90 + 45)
Simplifying the equation:
Combined Efficiency = 4050 / 135
Combined Efficiency = 30
Therefore, the combined efficiency of both brigades working together is 30.
To calculate the time it will take for both brigades to complete the road repair, we can use the formula:
Total Time = (T1 * T2) / (T1 + T2)
Substituting the given values:
Total Time = (90 * 45) / (90 + 45)
Simplifying the equation:
Total Time = 4050 / 135
Total Time = 30
Therefore, it will take both brigades working together a total of 30 days to complete the road repair.
Please note that the above calculation assumes that both brigades work at a constant rate and there are no other factors that may affect the repair time.


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