Question

Бригада садовников за несколько дней должна была посадить 240 деревьев ,работая с постоянной производительностью труда.Сажая ежедневно на 4 дерева больше,чем предполагалось по плану,бригада выполнила работу на 2 дня раньше срока.Сколько дней бригада затратила на работу?

Answer 1

Х - количество деревьев, которые должны были садить в день
х+4 - количество деревьев, которые  садили  в день
$\frac{240}{x} - \frac{240}{x+4} =2 \\ \frac{120}{x} - \frac{120}{x+4} =1 \\ x \neq 0,x \neq -4 \\ 120(x+4)-120x-x(x+4)=0 \\ 120x+480-120x- x^{2} -4x=0 \\ - x^{2} -4x+480=0 \\ x^{2} +4x-480=0 \\ D= 4^{2} -4*1*(-480)=1936 \\ \sqrt{D} =44 \\ x_{1} = \frac{-4-44}{2} =-24 \\ x_{2} = \frac{-4+44}{2} =20$
x=-24 - не подходит
20+4=24 -деревьев которые  садили  в день
240:24=10 дней бригада затратила на роботу

Answer 2

Calculation of the Number of Days the Gardening Crew Spent on the Job

To determine the number of days the gardening crew spent on the job, we can use the given information that the crew was able to complete the work 2 days ahead of schedule by planting 4 more trees per day than planned.

Let's assume that the crew initially planned to plant x trees per day. According to the information provided, they were able to plant 4 more trees per day than planned. Therefore, the actual number of trees planted per day would be x + 4.

We know that the crew planted a total of 240 trees. Since they completed the work 2 days ahead of schedule, we can set up the following equation:

(x + 4) * (number of days worked) = 240

To solve for the number of days worked, we can rearrange the equation:

number of days worked = 240 / (x + 4)

Let's calculate the number of days worked by substituting different values for x and finding the corresponding number of days.

Note: The given information does not provide the value of x, so we will need to make an assumption in order to proceed with the calculation.

Let's assume that the crew initially planned to plant 10 trees per day (x = 10). Plugging this value into the equation, we get:

number of days worked = 240 / (10 + 4) = 240 / 14 = 17.14 days

Since the number of days worked must be a whole number, we can round up to the nearest whole number. Therefore, the gardening crew spent approximately 18 days on the job.

Please keep in mind that this calculation is based on the assumption that the crew initially planned to plant 10 trees per day. If a different value for x is used, the number of days worked may vary.

Answer:

The gardening crew spent approximately 18 days on the job.