Question

Сравни задачи и их решения. Задача № 1 За восьмичасовой рабочий день ткачиха вырабатывает 40 метров ткани. За какое время она сможет выработать 50 метров ткани, если будет работать с той же производительностью? Задача № 2 За восьмичасовой рабочий день ткачиха вырабатывает 40 метров ткани. Сколько метров ткани она выработает за 10 часов, если будет работать с той же производительностью?

Answer 1

Ответ:

Пошаговое объяснение:

Смотри вложение

Answer 2

Ответ:

Пошаговое объяснение:

Задача 1

8 часов = 40 метров

х часов = 50 метров

8/х = 40/50

х = 8 * 50 / 40

х = 400/40

х = 10

Ответ: за 10 часов 50м

Задача 2

8 часов = 40 метров

10 часов = х метров

8/10 = 40/х

х = 40 * 10 / 8

х = 400/8

х = 50

Ответ: 50 м за 10 часов

Две задачи друг другу обратные

Answer 3

Comparing Two Problems and Their Solutions

Problem #1: In an eight-hour workday, a weaver produces 40 meters of fabric. The question is, how long will it take for her to produce 50 meters of fabric if she maintains the same productivity level?

Solution #1: To solve this problem, we can use the formula: \[ \text{Time} = \frac{\text{Work}}{\text{Rate}} \] where Time is the unknown, Work is the amount of fabric to be produced (50 meters), and Rate is the productivity rate (40 meters per 8 hours).

Substituting the given values: \[ \text{Time} = \frac{50}{40} \times 8 \] \[ \text{Time} = 6.25 \text{ hours} \]

Therefore, it will take the weaver 6.25 hours to produce 50 meters of fabric at the same productivity rate.

Problem #2: In an eight-hour workday, a weaver produces 40 meters of fabric. The question is, how many meters of fabric will she produce in 10 hours if she maintains the same productivity level?

Solution #2: To solve this problem, we can use the same formula: \[ \text{Work} = \text{Rate} \times \text{Time} \] where Work is the unknown, Rate is the productivity rate (40 meters per 8 hours), and Time is the given time (10 hours).

Substituting the given values: \[ \text{Work} = 40 \times \frac{10}{8} \] \[ \text{Work} = 50 \text{ meters} \]

Therefore, the weaver will produce 50 meters of fabric in 10 hours at the same productivity rate.

These two problems illustrate the application of the same formula to calculate the time required to complete a certain amount of work or the amount of work that can be completed within a given time, given a constant productivity rate.