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, [tex] \text{120\% of 8 x} = 6 ( x +6 )[/tex]
⇒ [tex]\frac{120\times 8x}{100} = 6 x + 36 [/tex]
⇒ [tex]\frac{960x}{100} = 6 x + 36 [/tex]
⇒ [tex]9.6 x = 6 x + 36 [/tex]
⇒ [tex]9.6 x - 6 x = 36 [/tex]
⇒ [tex]3.6 x = 36 [/tex]
⇒ [tex]x = 10[/tex]
Thus, 10 parts per hour was the team supposed to produce according to the plan.
