Question

Using new equipment, a worker finished 4 more parts in an hour than was planned and fulfilled his daily task not in 8 hours, but in 6 hours. How many parts did the worker have to finish during the day according to the schedule?

Answer 1

96

Explanation:

If the hourly production rate is p parts, then the daily production quantity for an 8-hour day is 8p. If changing the rate to p+4 per hour means the same quantity can be produced in 6 hours, then we can write the equation ...

6(p+4) = 8p

6p + 24 = 8p . . . eliminate parentheses

24 = 2p . . . . . . . subtract 6p

12 = p . . . . . . . . . normal hourly production rate

8p = 8·12 = 96 . . . . scheduled daily production quantity

The worker has to finish 96 parts during the day according to the schedule.