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Mathematics speed-up
If the original time is 4x, then the original time after 1/4 is 3x.

If the speed is increased by 25%, that is, the efficiency is 5: 4, then the time required is 4: 5.

If 1/5 can be advanced, then 3x* 1/5=3 and x=5, that is, the original time is 4*5=20 hours.

The latter part is accelerated by 20%, that is, the efficiency is 6: 5, and the required time is 5: 6.

If 1/6 can be advanced, then the original time of the latter part is 2÷( 1/6)= 12 hours.

The original time of the first 200 parts is 20- 12=8 hours.

The original hourly rate is 200÷8=25.

Number of parts: 25×20=500.