Question

Как решить задачу рабочий изготовил 10 деталей на своем станке за 52 часа 30 минут станок автомат изготовил 25 таких же деталей За 43 часа 45 минут Во сколько раз автомат работал быстрее рабочего

Answer 1

1)(52*60+30)\10=315-минутна деталь рабочему
2)(43*60)+45\25=105- минут на деталь станка
3)315\105=3
Ответ: в три раза

Answer 2

Problem Analysis

To solve this problem, we need to compare the time it took for a worker to produce 10 parts on their machine with the time it took for an automatic machine to produce 25 identical parts. We are given that the worker took 52 hours and 30 minutes, while the automatic machine took 43 hours and 45 minutes.

Solution

To find out how many times faster the automatic machine worked compared to the worker, we need to calculate the ratio of the time taken by the worker to the time taken by the automatic machine.

Let's convert the given times to a common unit, such as minutes, for easier comparison.

The worker took 52 hours and 30 minutes, which is equal to 52 * 60 + 30 = 3150 minutes.

The automatic machine took 43 hours and 45 minutes, which is equal to 43 * 60 + 45 = 2625 minutes.

Now, we can calculate the ratio:

Ratio = Time taken by the worker / Time taken by the automatic machine

Ratio = 3150 minutes / 2625 minutes

Ratio = 1.2

Therefore, the automatic machine worked approximately 1.2 times faster than the worker.

Conclusion

The automatic machine worked approximately 1.2 times faster than the worker.