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 )](https://tex.z-dn.net/?f=%20%5Ctext%7B120%5C%25%20of%208%20x%7D%20%3D%206%20%28%20x%20%2B6%20%29)
⇒ ![\frac{120\times 8x}{100} = 6 x + 36](https://tex.z-dn.net/?f=%5Cfrac%7B120%5Ctimes%208x%7D%7B100%7D%20%3D%206%20x%20%2B%2036%20)
⇒ ![\frac{960x}{100} = 6 x + 36](https://tex.z-dn.net/?f=%5Cfrac%7B960x%7D%7B100%7D%20%3D%206%20x%20%2B%2036%20)
⇒ ![9.6 x = 6 x + 36](https://tex.z-dn.net/?f=9.6%20x%20%3D%206%20x%20%2B%2036%20)
⇒ ![9.6 x - 6 x = 36](https://tex.z-dn.net/?f=9.6%20x%20-%206%20x%20%3D%2036%20)
⇒ ![3.6 x = 36](https://tex.z-dn.net/?f=3.6%20x%20%3D%2036%20)
⇒ ![x = 10](https://tex.z-dn.net/?f=x%20%3D%2010)
Thus, 10 parts per hour was the team supposed to produce according to the plan.