After Master Wang processed 1500 parts, he improved the technology and increased the work efficiency to 2.5 times of the original. When he later processed another 1500 parts, it took 18 hours less than before. How many parts per hour before and after the improvement? (solved by equation and arithmetic)

After Master Wang processed 1500 parts, he improved the technology and increased the work efficiency to 2.5 times of the original. When he later processed another 1500 parts, it took 18 hours less than before. How many parts per hour before and after the improvement? (solved by equation and arithmetic)


(1) Suppose x pieces are processed per hour before the improvement of the technology, then 2.5x pieces are processed per hour after the improvement of the technology



After processing 1500 parts, a worker's master increased the work efficiency to 2.5 times of the original. Therefore, when processing another 1500 parts, the completion was 18 hours earlier than before. How many parts were processed each hour before and after the worker's master improved the work efficiency? If x parts are processed per hour before the work efficiency is improved, the equation can be expressed as___ .


The original processing time of 1500 parts is 1500x, but now the processing time of 1500 parts is 15002.5x. According to the meaning of the title, the equation is 1500x-18 = 15002.5x



Set up equations to solve the application problem: a worker planned to process 1500 parts in the specified time. After improving the tools and operation methods, the work efficiency is doubled. Therefore, when processing 1500 parts, it is 5 hours ahead of the original plan. How many parts are there in the original plan?


Suppose the original plan is to process x parts per hour. According to the meaning of the question: 1500x = 15002x + 5, remove the denominator, and get 3000 = 1500 + 10x. The solution is x = 150. After testing, x = 150 is the solution of the original equation, and meets the meaning of the question. Answer: the original plan is to process 150 parts per hour



A worker planned to process 1500 parts in the specified time. After improving the operation procedure, the efficiency doubled
In this way, the task can be completed five hours in advance, and how many parts can be processed per hour according to the original plan?
Can you solve the equation?


1500 (5 × 2) = 150
A: the original plan is to process 150 parts per hour
[analysis] if the efficiency is doubled, it will be 5 hours ahead of time, so the original time before the efficiency is improved is 5 × 2