Question

Петя выполнил работу за 2 дня, Коля за 3 дня, Вася за 6 дней. Кто выполнит эту работу быстрее: Петя один или Коля и Вася вместе. С решением пожалуйста.

Answer 1

петя-2 дня

коля-3 дня

вася-6 дней

 

 

 

Ответ: петя сделает эту работу также  как и вася с колей

Answer 2

Вася выполняет 1/6 в день, Коля 1/3, Петя 1/2. А Коля и Вася вместе 1/6+1/3=1/6+2/6=1/2.

Ответ: Петя выполнит работу также быстро как Коля и вася вместе.

Answer 3

Problem Analysis

We are given that Petya completes a task in 2 days, Kolya completes it in 3 days, and Vasya completes it in 6 days. We need to determine whether Petya alone or Kolya and Vasya together will complete the task faster.

Solution

To compare the time taken by Petya alone and Kolya and Vasya together, we need to calculate their respective rates of work. The rate of work is defined as the reciprocal of the time taken to complete a task.

Let's calculate the rates of work for Petya, Kolya, and Vasya:

- Petya's rate of work: 1/2 tasks per day - Kolya's rate of work: 1/3 tasks per day - Vasya's rate of work: 1/6 tasks per day

To determine whether Petya alone or Kolya and Vasya together will complete the task faster, we need to compare their combined rate of work with Petya's rate of work.

The combined rate of work for Kolya and Vasya is the sum of their individual rates of work:

- Combined rate of work for Kolya and Vasya: 1/3 + 1/6 = 1/2 tasks per day

Comparing the combined rate of work (1/2 tasks per day) with Petya's rate of work (1/2 tasks per day), we can conclude that Petya alone will complete the task in the same amount of time as Kolya and Vasya together.

Therefore, both Petya alone and Kolya and Vasya together will complete the task in the same amount of time.

Answer

Petya alone and Kolya and Vasya together will complete the task in the same amount of time.