The number of days the team worked is 12 days
Given that a team of workers had to produce 54 parts daily in order to complete an assignment by a given deadline.
Let the number of days in which the work should be finished be "x"
60(x - 1) - 18 = 54x
Solve the expression for "x"
60x - 60 - 18 = 54x
60 - 54x = 78
6x = 78
x = 13
Number of days the team worked = 13 - 1 = 12 days
Hence the number of days the team worked is 12 days
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Complete question
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?