Two turners made 90 parts per shift. The productivity of the first turner is 2 pcs / h more than the second.

Two turners made 90 parts per shift. The productivity of the first turner is 2 pcs / h more than the second. How many parts did each turner make per shift if the shift lasts 8 hours?

Let’s take the number of parts made in 1 hour by the second turner in x, then the first turner produces x + 2 parts in the same time. In an 8 hour shift, both turners produced 90 parts. Then:
(x + x + 2) * 8 = 90;
(2 * x + 2) * 8 = 90;
16 * x + 16 = 90;
16 * x = 90-16;
16 * x = 74;
x = 74/16 = 4.625.
Then, during the shift, the second turner produced x * 8 = 4.625 * 8 = 37 parts.
The first turner made 90 – 37 = 53 parts.
Answer: the first turner made 53 parts per shift, the second turner – 37.