Question

На изготовление 50 деталей мастер затрачивает 1 ч 40 мин, а его ученик работает в 2 раза медленнее. За сколько минут ученик делает одну деталь? 2 способа

Answer 1

1 способ
1)50:2=25(дет) делает ученик за 1 ч 40 мин
1ч40мин=100мин
2)100:25=за 4 мин
2способ
1)1ч40мин*2=3ч 20 мин
3ч 20 мин =200 мин
2)200:50=за 4 мин

Answer 2

Calculation Method 1: Using Proportions

To determine how long it takes the apprentice to make one part, we can set up a proportion using the information given.

Let's denote the time it takes the master to make 50 parts as M and the time it takes the apprentice to make one part as A.

According to the information given, the master takes 1 hour and 40 minutes to make 50 parts. We can convert this time to minutes by multiplying 1 hour by 60 minutes and adding the 40 minutes, resulting in a total of 100 minutes.

So, we have:

M = 100 minutes

Since the apprentice works at half the speed of the master, we can set up the following proportion:

M : A = 1 : 2

Substituting the value of M we found earlier, we have:

100 : A = 1 : 2

To solve for A, we can cross-multiply and divide:

100 * 1 = A * 2

Simplifying, we find:

A = 50 minutes

Therefore, the apprentice takes 50 minutes to make one part.

Calculation Method 2: Using Ratios

Another way to calculate the time it takes the apprentice to make one part is by using ratios.

Since the apprentice works at half the speed of the master, we can say that the ratio of the time taken by the apprentice to the time taken by the master is 1:2.

Let's denote the time it takes the apprentice to make one part as A and the time it takes the master to make one part as M.

According to the information given, the master takes 1 hour and 40 minutes to make 50 parts. We can convert this time to minutes by multiplying 1 hour by 60 minutes and adding the 40 minutes, resulting in a total of 100 minutes.

So, we have:

M = 100 minutes

Since the ratio of the apprentice's time to the master's time is 1:2, we can set up the following equation:

A / M = 1 / 2

Substituting the value of M we found earlier, we have:

A / 100 = 1 / 2

To solve for A, we can cross-multiply and divide:

A * 2 = 100 * 1

Simplifying, we find:

A = 50 minutes

Therefore, the apprentice takes 50 minutes to make one part.

In conclusion, the apprentice takes 50 minutes to make one part, whether we use the proportion method or the ratio method.