Question

Решить задачу Валя решает задачу на 3 минуты быстрее чем Оля и на 1 минуту дольше чем решая эту задачу вместе с Олей

Answer 1

Пусть Оля с Валей решают задачу за х минут, 
Тогда в одиночку Валя решит за х+1 минуту,
Оля в одиночку решит за  х+1+3 =x+4 минуты.
Ответ — В одиночку Валя решит задачу на 4 минуты быстрее чем Оля.

Answer 2

Problem Analysis

We are given that Valya solves a problem 3 minutes faster than Olya and 1 minute slower than solving the problem together with Olya. We need to find the time it takes for Valya to solve the problem.

Solution

Let's assume that it takes Olya x minutes to solve the problem. According to the given information, Valya solves the problem 3 minutes faster than Olya, so Valya takes (x - 3) minutes to solve the problem.

It is also given that Valya takes 1 minute longer to solve the problem together with Olya. So, the time taken by Valya and Olya together is (x + 1) minutes.

To find the time taken by Valya alone, we can set up the following equation:

(x - 3) + x = x + 1

Simplifying the equation:

2x - 3 = x + 1

Bringing the x terms to one side:

2x - x = 1 + 3

x = 4

Therefore, it takes Olya 4 minutes to solve the problem.

To find the time taken by Valya, we substitute the value of x into the equation:

(x - 3) = (4 - 3) = 1

So, Valya takes 1 minute to solve the problem.

Answer

Valya takes 1 minute to solve the problem.