Question

Гончар может выполнить заказ за 4 дня,а его ученик за 8 дней.Какую часть заказа они могут выполнить за 1 день, работая вместе? Выполняют ли они весь заказ,работая вместе, за 2 дня? а за 3 дня?

Answer 1

1/4+1/8=2/8+1/8=3/8 за 1 день
1:3/8=8/3=2 2/3 дня на весь заказ работая вместе
Ответ: 3/8 за 1 день работая вместе; за 2 дня не смогут, за 3 дня смогут

Answer 2

Calculation of Work Efficiency

To determine the portion of the order that a potter and their apprentice can complete in one day, we need to calculate their individual work rates.

Let's assume that the potter can complete the entire order in 4 days, while the apprentice can complete the entire order in 8 days.

To find the work rate of each person, we can use the formula:

Work Rate = 1 / Time Taken

For the potter: Potter's Work Rate = 1 / 4 = 0.25

For the apprentice: Apprentice's Work Rate = 1 / 8 = 0.125

Now, let's calculate the portion of the order they can complete together in one day by adding their work rates:

Combined Work Rate = Potter's Work Rate + Apprentice's Work Rate = 0.25 + 0.125 = 0.375

Therefore, working together, the potter and the apprentice can complete 0.375 (or 37.5%) of the order in one day.

Completion of the Entire Order

Now, let's determine if they can complete the entire order working together in 2 days and 3 days.

To find out, we need to calculate the portion of the order they can complete in 2 days and 3 days by multiplying their combined work rate by the number of days:

For 2 days: Portion of Order Completed in 2 Days = Combined Work Rate * 2 = 0.375 * 2 = 0.75

For 3 days: Portion of Order Completed in 3 Days = Combined Work Rate * 3 = 0.375 * 3 = 1.125

Since the portion of the order completed cannot exceed 100%, we can conclude the following:

- They can complete 75% of the order in 2 days. - They cannot complete the entire order in 2 days. - They can complete 112.5% of the order in 3 days. - They can complete the entire order and have an additional 12.5% completed in 3 days.

Therefore, working together, the potter and the apprentice can complete the entire order in 3 days.

Please note that the calculations are based on the assumption that the work rates remain constant throughout the duration of the project.