Question

68. Объемы ежегодной добычи нефти первой, второй и третьей скважинами относится как 6: 7: 10. Планируется уменьшить годовую добычу нефти из первой скважины на 10% и из второй тоже на 10%. На сколько процентов нужно увеличить годовую добычу нефти из третьей скважины, чтобы суммарный объем добываемой за год нефти не изменился? - то этого​

Answer 1

Calculation of Oil Production Changes

To determine the percentage increase in oil production from the third well in order to maintain the same total annual oil production, we need to consider the current production ratios and the planned reductions in production from the first and second wells.

Given that the annual oil production from the first, second, and third wells is in a ratio of 6:7:10, and there is a planned 10% reduction in production from both the first and second wells, we can calculate the new production values as follows:

Let's assume the initial annual oil production from the first well is 6x and from the second well is 7x. The annual oil production from the third well would then be 10x.

After reducing the production from the first well by 10%, the new annual production from the first well would be 0.9 * 6x = 5.4x.

Similarly, after reducing the production from the second well by 10%, the new annual production from the second well would be 0.9 * 7x = 6.3x.

To maintain the same total annual oil production, the sum of the new production values from the three wells should be equal to the initial total production.

Therefore, we can set up the following equation:

5.4x + 6.3x + (10x + y) = 6x + 7x + 10x

Simplifying the equation, we get:

21.7x + y = 23x

To find the value of y, we subtract 21.7x from both sides of the equation:

y = 23x - 21.7x

Simplifying further, we get:

y = 1.3x

Therefore, to maintain the same total annual oil production, the annual production from the third well needs to be increased by 1.3x.

Please note that the exact percentage increase in oil production from the third well depends on the value of x. Without knowing the specific value of x, we cannot determine the exact percentage increase.