Question

На четырёх одинаковых станках за 15 дней сделали 2160 деталей.Сколько деталей будет сделано на 7 станках за 10 дней?

Answer 1

У четырех станков одинаковая производительность значит можно вычеслить сколько за 15 дней зделает 1 станок 2160/4=540деталей а 1 станок за 1 день 540/15=36деталей.
итак 1 станок за 1 день делает 36 деталей
7 станков за 1 день делает 36*7=252детали
7 станков за 15 дней 252*10=2520.
ОТВЕТ: 7станков за10 дней изготавливает 2520 деталей.

Answer 2

Problem Analysis

We are given that four identical machines produced 2160 parts in 15 days. We need to determine how many parts will be produced by seven machines in 10 days.

Solution

To solve this problem, we can use the concept of machine productivity. We can assume that the productivity of each machine is constant. Therefore, the total number of parts produced is directly proportional to the number of machines and the number of days.

Let's denote the number of parts produced by four machines in 15 days as P1. We can set up the following proportion:

P1 / (4 machines * 15 days) = P2 / (7 machines * 10 days)

We can solve this proportion to find the value of P2, which represents the number of parts produced by seven machines in 10 days.

Calculation

Let's calculate the number of parts produced by seven machines in 10 days.

P1 = 2160 parts (given)

P2 = (P1 / (4 machines * 15 days)) * (7 machines * 10 days)

Substituting the given values:

P2 = (2160 / (4 * 15)) * (7 * 10)

P2 = (2160 / 60) * 70

P2 = 36 * 70

P2 = 2520

Therefore, seven machines will produce 2520 parts in 10 days.

Answer

Seven machines will produce 2520 parts in 10 days.