Question

Using more advanced technology, a team of workers began to produce 6 more parts per hour than before. In six hours, the team produced 120% of what they had previously been able to produce in eight hours. How many parts per hour was the team producing prior to switching to the new technology?

Answer 1

Answer: Therefore, the team was producing 10 parts per hour prior to switching to the new technology.

Step-by-step explanation:Let's denote the number of parts produced per hour before the technology upgrade by x.

After the upgrade, the team produces 6 more parts per hour than before, so their new production rate is x + 6 parts per hour.

In 8 hours, the team produces 8x parts in total.

In 6 hours with the new technology, the team produces 120% of what they previously produced in 8 hours, or 1.2(8x) = 9.6x parts in total.

We can set up an equation based on the information above:

6(x + 6) = 9.6x

Simplifying the equation:

6x + 36 = 9.6x

Subtracting 6x from both sides:

36 = 3.6x

Dividing both sides by 3.6:

x = 10