Question

Один мастер выполняет работу за 5 дней, а другой, выполняющий ту же работу, за 8 дней. Какую часть работы будут выполнять оба мастера, если поработают вместе 1 день? На 3 дня?​

Answer 1

Первый мастер выполняет 1/5 работы

за день Второй мастер выполняет 1/8 работы

за день

Значит, если они будут работать вместе 1 день, они выполнят 1/5+1/8 = 13/40 работы. А если 3 дня, то 13/40 . 3 = 39/40 работы.

Answer 2

Problem Analysis

We are given two masters who can complete a task in 5 days and 8 days, respectively. We need to determine the portion of the task that both masters can complete together in 1 day and in 3 days.

Solution

To find the portion of the task that both masters can complete together, we need to calculate their individual rates of work. Let's assume that the task requires 1 unit of work.

- The first master can complete the task in 5 days, so their rate of work is 1/5 units per day. - The second master can complete the task in 8 days, so their rate of work is 1/8 units per day.

To find the portion of the task that both masters can complete together in 1 day, we add their rates of work: 1/5 + 1/8 = 13/40 units per day.

Therefore, both masters can complete 13/40 of the task together in 1 day.

To find the portion of the task that both masters can complete together in 3 days, we multiply their combined rate of work by the number of days: (13/40) * 3 = 39/40 units.

Therefore, both masters can complete 39/40 of the task together in 3 days.

Answer

- If both masters work together for 1 day, they will complete 13/40 of the task. - If both masters work together for 3 days, they will complete 39/40 of the task.