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29 June, 00:58

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?

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  1. 29 June, 01:13
    0
    Step-by-step explanation:

    Let d be days of work by the team.

    At first, a team of workers had to produce 54 parts daily:

    d days * (54 parts) / day = 54d parts

    Then exceeding the schedule by 6 parts per day, the team not only finished the assignment 1 day earlier, but also produced 18 extra parts:

    (d-1) days * (54+6 parts) / day = 60d - 60 parts

    60d-60 = 54d + 18

    6d = 78

    d = 13

    So the answer is:

    If the team is making 54 parts per day, the team works 13 days.

    If the team is making 60 parts per day, the team works 12 days.
  2. 29 June, 03:37
    0
    13

    Step-by-step explanation:

    To fulfill an assignment by a given deadline, a team of workers had to produce 54 parts daily

    let total no. of parts in assign be p n days to finish be d

    54d=p

    Exceeding the schedule by 6 parts per day, the team produces 54+6 = 60 parts daily

    the team finished the assignment 1 day earlier n produced 18 extra parts

    1 day earlier means d-1

    18 extra parts means p+18

    so 60 (d-1) = p+18

    substitute 54d=p into the eqn

    60 (d-1) = 54d+18

    60d-60=54d+18

    60d-54d=18+60

    6d=78

    d=13
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