To fulfill an assignment by a given deadline, a team of workers had to produce 54 parts daily. exceeding the schedule by 6 parts per day, the team not only finished the assignment 1 day earlier, but also produced 18 extra parts. how many days did the team work?

Team worked for 12 days.

Step-by-step explanation:

Let d be the number of days.

We have been been given that to fulfill an assignment by a given deadline, a team of workers had to produce 54 parts daily. So the number of parts produced in d days will be .

After exceeding the the schedule by 6 parts per day number of parts produced in will be parts per day.

As after exceeding the schedule by 6 parts per day, team finished the assignment 1 day earlier, so number of days will be d-1.

So after exceeding the schedule the total number of parts produced in d days will be

We are also told that exceeding the schedule by 6 parts per day, the team produced 18 extra parts.

We can represent this information in an equation as:

Let us solve for d by combining like terms.

Upon dividing both sides of our equation by -6 we will get,

Therefore, before exceeding the schedule team will finish the assignment in 13 days.

As team finished the assignment 1 day earlier, so number of days taken by team will be:

Therefore, after exceeding the schedule by 6 parts per day, the team took 12 days to complete the assignment.

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step-by-step explanation:

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