Question

На двух станках отштамповали 1800 деталей за 12 ч. Известно, что 180 деталей на первом станке штампуют на 1 ч. быстрее, чем на втором. Сколько деталей в час штампуют на первом станке?

Answer 1

6)Скорость первого = х деталей в час, второго = у.
12 * х + 12* у = 1800 > х + у = 150 ---> у = 150 - х
180 / у = 180 / х + 1 (час) ---> 180 * у + х * у = 180 * х ---> х * у + 180 * у - 180 * х = 0
150 * х - х^2 + 180 * 150 - 180 * x - 180 * x = 0 ---> х^2 + 210 * x - 27 000 = 0
Отсюда х = 90, у = 60.

Answer 2

Calculation of the Number of Parts Stamped per Hour on the First Machine

To determine the number of parts stamped per hour on the first machine, we need to consider the information provided.

We know that a total of 1800 parts were stamped in 12 hours using two machines. Additionally, we are given that the first machine stamps 180 parts in 1 hour faster than the second machine.

Let's break down the information step by step:

1. Total number of parts stamped: 1800 2. Total time taken: 12 hours

To find the number of parts stamped per hour on the first machine, we can set up the following equation:

x + (x - 180) = 1800 / 12

Here, x represents the number of parts stamped per hour on the first machine, and (x - 180) represents the number of parts stamped per hour on the second machine.

Simplifying the equation:

2x - 180 = 150

2x = 150 + 180

2x = 330

x = 330 / 2

x = 165

Therefore, the first machine stamps 165 parts per hour.

Please note that the provided search results did not directly answer the question. The calculation was done based on the information provided in the user's query.