Question

Петя выполняет некоторую работу за два дня. Коля выполняет эту работу за 3 дня, а Вася - за 6 дней. д) первый денб работал один Петя, а с начала второго дня к нему присоединились Коля и Вася. Когда работа была закончена, им заплатили 45 рублей. Как распределить полученные деньги? е) то же, что и в пункте д), но в первый день работал один Коля. ж) то же, что и в пункте д), но в первый день работал один Вася. з) то же, что и в пункте д), но в первый день работали Коля и Вася вместе, затем Вася ушёл, а Коля с Петей закончили работу.

Answer 1

Коля выполнил 1/3 работы

Вася - 1/6 работы

45*(1/3)= 15 рублей получит Коля

45*(1/6)= 7,50 рублей получит Вася

45-15-7,50 = 22,50 получит Петя 

Answer 2

Task Description

The task involves distributing a certain amount of money among three individuals, Petya, Kolya, and Vasya, who have completed a job together. The task has several variations, each with a different scenario for the distribution of money. The variations are as follows:

d) On the first day, Petya worked alone, and on the second day, Kolya and Vasya joined him. When the job was completed, they were paid 45 rubles. How should they distribute the money?

e) Same as in d), but on the first day, Kolya worked alone.

ж) Same as in d), but on the first day, Vasya worked alone.

з) Same as in d), but on the first day, Kolya and Vasya worked together, then Vasya left, and Kolya and Petya completed the job.

Let's calculate the distribution of money for each scenario.

Scenario d)

In this scenario, Petya worked alone on the first day, and on the second day, Kolya and Vasya joined him. They were paid 45 rubles for completing the job.

To calculate the distribution of money, we need to determine the proportion of work done by each person. Since Petya worked for 2 days, Kolya for 1 day, and Vasya for 1 day, we can calculate the proportion of work done by each person as follows:

Petya's proportion = 2 days / (2 days + 1 day + 1 day) = 2/4 = 1/2

Kolya's proportion = 1 day / (2 days + 1 day + 1 day) = 1/4

Vasya's proportion = 1 day / (2 days + 1 day + 1 day) = 1/4

Now, we can distribute the money based on the proportions:

Petya's share = Petya's proportion * Total money = (1/2) * 45 rubles = 22.5 rubles

Kolya's share = Kolya's proportion * Total money = (1/4) * 45 rubles = 11.25 rubles

Vasya's share = Vasya's proportion * Total money = (1/4) * 45 rubles = 11.25 rubles

Therefore, Petya should receive 22.5 rubles, Kolya should receive 11.25 rubles, and Vasya should receive 11.25 rubles.

Scenario e)

In this scenario, Kolya worked alone on the first day, and on the second day, Petya and Vasya joined him. They were paid 45 rubles for completing the job.

Using the same approach as in scenario d), we can calculate the proportions of work done by each person:

Kolya's proportion = 2 days / (1 day + 2 days + 1 day) = 2/4 = 1/2

Petya's proportion = 1 day / (1 day + 2 days + 1 day) = 1/4

Vasya's proportion = 1 day / (1 day + 2 days + 1 day) = 1/4

Now, we can distribute the money based on the proportions:

Kolya's share = Kolya's proportion * Total money = (1/2) * 45 rubles = 22.5 rubles

Petya's share = Petya's proportion * Total money = (1/4) * 45 rubles = 11.25 rubles

Vasya's share = Vasya's proportion * Total money = (1/4) * 45 rubles = 11.25 rubles

Therefore, Kolya should receive 22.5 rubles, Petya should receive 11.25 rubles, and Vasya should receive 11.25 rubles.

Scenario ж)

In this scenario, Vasya worked alone on the first day, and on the second day, Petya and Kolya joined him. They were paid 45 rubles for completing the job.

Using the same approach as in scenario d), we can calculate the proportions of work done by each person:

Vasya's proportion = 2 days / (1 day + 1 day + 2 days) = 2/4 = 1/2

Petya's proportion = 1 day / (1 day + 1 day + 2 days) = 1/4

Kolya's proportion = 1 day / (1 day + 1 day + 2 days) = 1/4

Now, we can distribute the money based on the proportions:

Vasya's share = Vasya's proportion * Total money = (1/2) * 45 rubles = 22.5 rubles

Petya's share = Petya's proportion * Total money = (1/4) * 45 rubles = 11.25 rubles

Kolya's share = Kolya's proportion * Total money = (1/4) * 45 rubles = 11.25 rubles

Therefore, Vasya should receive 22.5 rubles, Petya should receive 11.25 rubles, and Kolya should receive 11.25 rubles.

Scenario з)

In this scenario, Kolya and Vasya worked together on the first day, then Vasya left, and Kolya and Petya completed the job. They were paid 45 rubles for completing the job.

Using the same approach as in scenario d), we can calculate the proportions of work done by each person:

Kolya's proportion = 1 day / (1 day + 1 day + 2 days) = 1/4

Petya's proportion = 2 days / (1 day + 1 day + 2 days) = 2/4 = 1/2

Now, we can distribute the money based on the proportions:

Kolya's share = Kolya's proportion * Total money = (1/4) * 45 rubles = 11.25 rubles

Petya's share = Petya's proportion * Total money = (1/2) * 45 rubles = 22.5 rubles

Therefore, Kolya should receive 11.25 rubles, and Petya should receive 22.5 rubles.

Please note that the calculations are based on the given information and assumptions about the distribution of work.