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?

Answer 1

13

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

Answer 2

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.