Question

In order to finish the order on time the factory was supposed to produce 70 items daily. After hiring three more people they were able to produce 10 more details daily, and completed the order five days ahead of the schedule. How many days was the order supposed to take originally?

Answer 1

40 days

Explanation:

Let x represent the original production time. Then 70x is the order quantity involved.

When the same order quantity is produced at a rate of 80 items per day for x-5 days, we have the equation ...

70x = 80(x -5)

70x = 80x -400

0 = 10x -400 . . . . . subtract 70x

0 = x -40 . . . . . . . . divide by 10

40 = x . . . . . . . . . . add 40

The original schedule was for production to take 40 days.