Question

Буду очень благодарна, если поможете:* Шестой класс. Токарь,делая по 108 деталей в час,изготовил все детали за пять часов. Если он будет делать по 60 деталей в час,то за сколько часов изготовит все детали?

Answer 1

1) 108*5=540 - деталей всего надо сделать
2) 540/60=9 - часов

Answer 2

1) 108 * 5 = 540 (дет.) - изготовил токарь за 5 часов;

2) 540 : 60 = 9 (ч) - столько времени потребуется токарю, если он будет делать по 60 деталей в час.

Ответ: 9 часов.

Answer 3

Problem Analysis

We are given that a lathe worker can produce 108 parts in one hour and it took him 5 hours to produce all the parts. We need to determine how many hours it will take for him to produce all the parts if he produces 60 parts per hour.

Solution

To solve this problem, we can use the concept of direct proportionality. The number of parts produced is directly proportional to the time taken. This means that if the number of parts produced per hour decreases, the time taken to produce all the parts will increase.

Let's calculate the time it took to produce all the parts when 108 parts were produced per hour.

Given: - Number of parts produced per hour = 108 - Time taken to produce all the parts = 5 hours

Using the formula for direct proportionality, we can set up the following equation:

(Number of parts produced per hour) x (Time taken to produce all the parts) = Constant

Substituting the given values, we have:

(108) x (5) = Constant

Simplifying, we find that the constant is 540.

Now, let's calculate the time it will take to produce all the parts when 60 parts are produced per hour.

To find: - Time taken to produce all the parts when 60 parts are produced per hour

Using the same formula for direct proportionality, we can set up the following equation:

(60) x (Time taken to produce all the parts) = 540

Solving for the time taken, we divide both sides of the equation by 60:

Time taken to produce all the parts = 540 / 60 = 9 hours

Answer

If the lathe worker produces 60 parts per hour, it will take him 9 hours to produce all the parts.

Explanation

When the lathe worker produces 108 parts per hour, it takes him 5 hours to produce all the parts. However, when he produces 60 parts per hour, the production rate decreases, so it will take him a longer time to produce all the parts. In this case, it will take him 9 hours to produce all the parts.