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

Let the planned number of parts per hour = x
Then the planned number of parts for the day = 8x
By finishing 4 more parts in an hour than was planned (x + 4) he fulfilled his daily task in 6 hours.
So he finished 6(x + 4) parts that day.
6(x + 4) = 8x
6x + 24 = 8x
2x = 24
x = 12