Question

Один токарь каждый час изготавлевал 8 деталей а другой 7 деталей. за сколько часов они изготовят в месте 90 деталей, если выработка в час у них не изменится?

Answer 1

За 6 часов они изготовят 90 деталей

Answer 2

Calculating Production Time for 90 Parts

To calculate the time it takes for the two workers to produce 90 parts together, we can use the concept of work done.

Let's denote the number of hours it takes for the first worker to produce 90 parts as x and the number of hours it takes for the second worker to produce 90 parts as y.

Given: - The first worker produces 8 parts in 1 hour. - The second worker produces 7 parts in 1 hour.

We can set up the following equations based on the work done: 1. 8x = 90 (work done by the first worker to produce 90 parts) 2. 7y = 90 (work done by the second worker to produce 90 parts)

Solving for x and y

Let's solve these equations to find the values of x and y.

From equation 1: x = 90 / 8 x = 11.25 hours

From equation 2: y = 90 / 7 y = 12.86 hours

So, the first worker will take approximately 11.25 hours to produce 90 parts, and the second worker will take approximately 12.86 hours to produce 90 parts.

Conclusion

Therefore, if the production rate per hour remains constant, it will take the two workers approximately 11.25 hours to produce 90 parts together.