Question

мастер и его ученик должны изготовить 90 кукол.мастер может сделать эту работу за 6 дней,а его ученик-за 10.хватит ли им 4 дня,чтобы,работая одновременно,выполнить заказ? решение:     ответ:

Answer 1

Problem Analysis

The master can make 90 dolls in 6 days, while the apprentice can make 90 dolls in 10 days. The question is whether they can complete the order in 4 days if they work together.

Solution

To determine if the master and apprentice can complete the order in 4 days, we need to calculate their combined productivity per day.

Let's start by calculating the master's productivity per day. We can divide the total number of dolls the master can make (90) by the number of days it takes him to make them (6):

Master's productivity per day = 90 dolls / 6 days = 15 dolls per day

Next, let's calculate the apprentice's productivity per day. We can divide the total number of dolls the apprentice can make (90) by the number of days it takes him to make them (10):

Apprentice's productivity per day = 90 dolls / 10 days = 9 dolls per day

Now, let's calculate their combined productivity per day by adding their individual productivity:

Combined productivity per day = Master's productivity per day + Apprentice's productivity per day = 15 dolls per day + 9 dolls per day = 24 dolls per day

Since their combined productivity per day is 24 dolls, we can calculate the total number of dolls they can make in 4 days by multiplying their combined productivity per day by the number of days:

Total number of dolls they can make in 4 days = Combined productivity per day * Number of days = 24 dolls per day * 4 days = 96 dolls

Therefore, the master and apprentice can make a total of 96 dolls in 4 days, which is more than the required 90 dolls. So, yes, they will be able to complete the order in 4 days.

Conclusion

The master and apprentice will be able to complete the order of 90 dolls in 4 days if they work together. Their combined productivity per day is 24 dolls, which means they can make a total of 96 dolls in 4 days.