Question

Using more advanced technology, a team of workers began to produce 6 more parts per hour than planned. As a result the team fulfilled 120% of an eight hours day work in six hours. How many parts per hour was the team supposed to produce according to the plan?

Answer 1

Answer: 10 parts per hour

Step-by-step explanation:

Let the team supposed to produce x parts per hour.

Thus, in 8 hour, the team supposed to produce = 8 x

Now, when company produce 6 more parts per hour than planned ,

Then the new parts per hour produced by company = x + 6

Thus, in 6 hour, the team supposed to produce = 6 ( x +6 )

According to the question,

As a result of new plan the team fulfilled 120% of an eight hours day work in six hours.

That is, $\text{120\% of 8 x} = 6 ( x +6 )$

⇒ $\frac{120\times 8x}{100} = 6 x + 36$

⇒ $\frac{960x}{100} = 6 x + 36$

⇒ $9.6 x = 6 x + 36$

⇒ $9.6 x - 6 x = 36$

⇒ $3.6 x = 36$

⇒  $x = 10$

Thus, 10 parts per hour was the team supposed to produce according to the plan.