Question

Один рабочий работал 3 дня, по 7 ч в день, а другой- 2 дня, по 8 ч в день. Вместе они изготавливали 481 деталь. Сколько деталей изготовил каждый рабочий, если за час они изготовляли деталей поровну?

Answer 1

(3*7+2*8)*х=481
(21+16)х=481
37х=481
х=481/37
х=13
21х=21*13=273
16х=16*13=208

Answer 2

Problem Analysis

We have two workers who worked for different durations and hours per day. We need to determine how many parts each worker produced if they produced an equal number of parts per hour.

Solution

Let's break down the problem step by step:

1. Calculate the total number of hours worked by each worker: - Worker 1: 3 days * 7 hours/day = 21 hours - Worker 2: 2 days * 8 hours/day = 16 hours 2. Calculate the total number of parts produced by both workers: - Total parts = 481

3. Calculate the number of parts produced per hour by both workers: - Total parts per hour = Total parts / (Worker 1 hours + Worker 2 hours) - Total parts per hour = 481 / (21 hours + 16 hours) = 481 / 37 hours ≈ 13 parts per hour

4. Calculate the number of parts produced by each worker: - Worker 1 parts = Worker 1 hours * Total parts per hour - Worker 1 parts = 21 hours * 13 parts per hour ≈ 273 parts - Worker 2 parts = Worker 2 hours * Total parts per hour - Worker 2 parts = 16 hours * 13 parts per hour ≈ 208 parts

Answer

Each worker produced a different number of parts: - Worker 1 produced approximately 273 parts. - Worker 2 produced approximately 208 parts.

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