Question

задача: За 3 ч станок-автомат изготавливает 300 шестерёнок для часов . Сколько шестерёнок может изготовить этот станок за 6 ч?Реши задачу 2 способами.

Answer 1

300+300=600 деталей за 6 часов первый способ
второй способ
300/3=100 за час
6*100=600 деталей за 6 часов

Answer 2

Problem Statement

The task is to determine how many gears the automatic machine can produce in 6 hours if it can manufacture 300 gears in 3 hours.

Solution 1: Using Proportions

We can solve this problem using proportions. If the machine can produce 300 gears in 3 hours, then in 6 hours, it can produce:

300 gears / 3 hours = x gears / 6 hours

Solving for x: x = (300 gears / 3 hours) * 6 hours

Calculating: x = 300 gears * 2 x = 600 gears

So, the machine can produce 600 gears in 6 hours.

Solution 2: Using Ratios

Another way to solve this problem is by using ratios. If the machine can produce 300 gears in 3 hours, then the ratio of gears produced to time taken is:

300 gears : 3 hours

To find out how many gears can be produced in 6 hours, we can use the same ratio:

x gears : 6 hours

Using the concept of ratios, we can calculate: 300 gears / 3 hours = x gears / 6 hours

Solving for x: x = (300 gears / 3 hours) * 6 hours

Calculating: x = 300 gears * 2 x = 600 gears

So, the machine can produce 600 gears in 6 hours.

Both methods yield the same result, showing that the machine can produce 600 gears in 6 hours.