Question

За 7 часов токарь изготовил 63 одинаковых детали. Сколько часов ему потребуется для изготовления 70 таких деталей, если в час он будет изготовливать на одну деталь больше? (только решение и ответ)

Answer 1

1)63:7=9(детали)-за 1 час;
2)9+1=10(деталей)-на 1 деталь больше за 1 час;
3)70:10=7(часов)

70:(63:7+1)=7(часов)
Ответ: за 7 часов он изготовит 70 деталей, если он будет изготавливать на 1 деталь больше.

Answer 2

Problem Analysis

A lathe worker manufactured 63 identical parts in 7 hours. Now, we need to determine how many hours it will take for the worker to manufacture 70 parts if they produce one more part per hour.

Solution

To find the number of hours required to manufacture 70 parts, we can set up a proportion based on the worker's productivity. Let's denote the number of hours required as x.

According to the given information, the worker manufactured 63 parts in 7 hours. This means their productivity rate is 63 parts / 7 hours = 9 parts per hour.

Since the worker will be producing one more part per hour, their new productivity rate will be 9 + 1 = 10 parts per hour.

We can set up the following proportion:

9 parts / 7 hours = 10 parts / x hours

To solve for x, we can cross-multiply and solve the resulting equation:

9x = 10 * 7

9x = 70

x = 70 / 9

x ≈ 7.78 hours

Therefore, it will take approximately 7.78 hours for the worker to manufacture 70 parts.

Answer

The worker will require approximately 7.78 hours to manufacture 70 parts if they produce one more part per hour.