Question

Двое рабочих изготовили вместе 280 оконных рам. Один из них работал 14 дней по 7 часов в день, а другой работал 7 дней по 6 часов в день.Сколько рам изготовил каждый из них, если они за 1 час работы изготавливали одинаковое число рам? (Решите с иксом)

Answer 1

Ответ:

Ответ на фото, удачи в учебе)

Answer 2

Problem Analysis

Two workers have together manufactured 280 window frames. One of them worked for 14 days, 7 hours per day, while the other worked for 7 days, 6 hours per day. We need to determine how many frames each worker produced if they both produced the same number of frames per hour of work.

Solution

Let's assume that the number of frames produced per hour by each worker is x.

The first worker worked for 14 days, 7 hours per day, which is a total of 14 * 7 = 98 hours. Therefore, the number of frames produced by the first worker is 98 * x.

The second worker worked for 7 days, 6 hours per day, which is a total of 7 * 6 = 42 hours. Therefore, the number of frames produced by the second worker is 42 * x.

According to the problem statement, the total number of frames produced by both workers is 280. Therefore, we can write the equation:

98 * x + 42 * x = 280

Simplifying the equation:

140 * x = 280

Dividing both sides of the equation by 140:

x = 2

So, each worker produced 2 frames per hour of work.

Now, we can calculate the number of frames produced by each worker:

The first worker worked for 98 hours, so the number of frames produced by the first worker is 98 * 2 = 196.

The second worker worked for 42 hours, so the number of frames produced by the second worker is 42 * 2 = 84.

Therefore, the first worker produced 196 frames, and the second worker produced 84 frames.

Answer

The first worker produced 196 frames, and the second worker produced 84 frames.