The machine produced 86.5 m of fabric per shift. After its improvement, the production rate increased by 0.12

The machine produced 86.5 m of fabric per shift. After its improvement, the production rate increased by 0.12. How much fabric did the machine start producing per shift? B) During the day, the combine operators planned to harvest 12.5 hectares of the field. Due to the breakdown of one of the combine operators, the daily rate was reduced by 0.2. How many hectares of the field were harvested per day?

Answer: A) the machine began to produce 96.88 m of fabric per shift; B) 10 hectares of field were harvested in a day.

A) The indicator 0.12 denotes the proportion of the increase in the productivity of the machine from the initial one. To determine the value of this fraction, we must multiply this indicator by the initial performance:

86.5 * 0.12 = 10.38 m.

That is, the machine began to be produced per shift:

86.5 + 10.38 = 96.88 m.

B) The share of the decrease in the field harvesting rate is equal to 0.2 of the initial one. Let’s calculate the value of the reduction in the harvesting rate in hectares:

12.5 * 0.2 = 2.5 hectares.

Let’s subtract this result from the original harvesting rate and get how many hectares of the field were harvested per day:

12.5 – 2.5 = 10 ha.