Цирк кұрылысын уұрылысшылардың бірінші бригадасы 15 айда бітіретін болса, екінші бригадасы оның
2-3-сіне тең уакытта бітіретін. Қурылысшылар екі бригадасы бірлесіп жумыс істесе, цирк кұрылысы неше айда бітеді?Ответы на вопрос
Ответ:
1/15+1/10 = 4/60 + 6/60 = 10/60 = 1/6
часть цирка. Тогда весь цирк смогут построить за
1 : 1/6 = 1 · 6/1 = 6
месяцев.
Пошаговое объяснение:
The Construction of a Circus by Two Brigades
The first brigade of construction workers completes the construction of a circus in 15 months. The second brigade, which is two to three times as large as the first brigade, completes the construction in the same amount of time. If the two brigades work together, how long will it take them to complete the construction of the circus?
To find the answer, we can use the concept of "work rate" or "productivity rate." The work rate is the amount of work done per unit of time. Let's assume that the work rate of the first brigade is 1 unit of work per month. Since the first brigade completes the construction in 15 months, the total work done by the first brigade alone is 15 units.
Now, let's assume that the work rate of the second brigade is x units of work per month. Since the second brigade is two to three times as large as the first brigade, its work rate is 2x or 3x units of work per month.
If the two brigades work together, their combined work rate is the sum of their individual work rates. So, the combined work rate is 1 + x units of work per month or 1 + 2x or 1 + 3x units of work per month, depending on the size of the second brigade.
To find the time it takes for the two brigades to complete the construction when working together, we can set up the following equation:
15 units of work = (1 + x) units of work per month * t months
Where t represents the time it takes for the two brigades to complete the construction when working together.
Simplifying the equation, we get:
15 = (1 + x) * t
Now, let's solve for t:
t = 15 / (1 + x)
Since the second brigade is two to three times as large as the first brigade, we have two cases to consider:
Case 1: The second brigade is two times as large as the first brigade (x = 2)
t = 15 / (1 + 2) = 15 / 3 = 5 months
Case 2: The second brigade is three times as large as the first brigade (x = 3)
t = 15 / (1 + 3) = 15 / 4 = 3.75 months
Therefore, if the two brigades work together, it will take them either 5 months or 3.75 months to complete the construction of the circus, depending on the size of the second brigade.
Please note that the above calculations are based on the assumptions made in the question.
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