Question

При двух од­но­вре­мен­но ра­бо­та­ю­щих прин­те­рах рас­ход бу­ма­ги со­став­ля­ет 1 пачку за 12 минут. Опре­де­ли­те, за сколь­ко минут из­рас­хо­ду­ет пачку бу­ма­ги пер­вый прин­тер, если из­вест­но, что он сде­ла­ет это на 10 минут быст­рее, чем вто­рой.

Answer 1

Применена формула зависимости работы, времени, производительности

Answer 2

Problem Analysis

We are given that two printers can consume 1 pack of paper in 12 minutes. We need to determine how long it will take for the first printer to consume a pack of paper if it is 10 minutes faster than the second printer.

Solution

Let's assume that the second printer takes x minutes to consume a pack of paper. Since the first printer is 10 minutes faster, it will take (x - 10) minutes to consume a pack of paper.

To find the value of x, we can set up the following equation:

x + (x - 10) = 12

Simplifying the equation:

2x - 10 = 12

Adding 10 to both sides:

2x = 22

Dividing both sides by 2:

x = 11

Therefore, the second printer takes 11 minutes to consume a pack of paper. Since the first printer is 10 minutes faster, it will take (11 - 10) = 1 minute to consume a pack of paper.

Answer: The first printer will consume a pack of paper in 1 minute.