Question

Двое рабочих вместе изготовили 390 деталей. Первый изготавливал 32 детали в день, а второй 18 деталей в день. С колько времени работал каждый, если второй работал на 5 дней больше первого?

Answer 1

Х дней работал 1й
х+5 дней работал 2й
32х+18(х+5)=390
32х+18х+90=390
50х=300
х=6 дней работал 1й
6+5=11 дней работал 2й

Answer 2

Решаем через систему уравнений:х-первый рабочий изготавливал в день деталейу-второй рабочийизготавливал в день деталей,тогда8х+15у=1625х-7у=35х=3+7ух=(3+7у)/5Подставляем х в верхнее уравнение:8*(3+7у)/5+15у=16224+56у+75у=81056у+75у=810-24131у=786у=6, тогда х=9Следовательно, первый рабочий изготовил 9*8=72 детали, второй 6*15=90 деталей, вместе 162. все только нужно пороботать головой и нужно думать самому калькулятр в руки и считаем

Answer 3

Problem Analysis

We are given that two workers together produced 390 parts. The first worker produced 32 parts per day, while the second worker produced 18 parts per day. The second worker worked 5 days more than the first worker. We need to determine how long each worker worked.

Solution

Let's assume that the first worker worked for x days. Since the second worker worked 5 days more than the first worker, the second worker worked for x + 5 days.

We can calculate the total number of parts produced by each worker using the given information: - The first worker produced 32 parts per day, so the total number of parts produced by the first worker is 32x. - The second worker produced 18 parts per day, so the total number of parts produced by the second worker is 18(x + 5).

According to the problem, the total number of parts produced by both workers is 390. We can set up the following equation to solve for x:

32x + 18(x + 5) = 390

Now, let's solve this equation to find the value of x.

Calculation

32x + 18(x + 5) = 390

32x + 18x + 90 = 390

50x + 90 = 390

50x = 300

x = 6

The first worker worked for 6 days, and the second worker worked for 6 + 5 = 11 days.

Answer

Therefore, the first worker worked for 6 days, and the second worker worked for 11 days.