Question

В понедельник Паша пошёл в поход на 5 дней. Каждый день, начиная со вторника, он проходил на 2 км больше, чем в предыдущий. Всего Паша прошёл 70 км. Сколько километров он прошёл в четверг? Варианты:13;14;15;16;18

Answer 1

Пусть  х км пройдет Паша в понедельник

во вторник x+2 км

в среду x+4 км

в четверг х+6

в пятницу х+8 км

всего 70 км

х + (x+2) + (x+4) + (x+6) + (x+8) = 70

5х + 20 = 70

5х = 70 - 20

5х = 50

х = 50 : 5

x = 10

10 + 6 = 16 км прошел в четверг

Ответ: 16 км

Answer 2

Calculation of the Distance Walked Each Day

To determine how many kilometers Pasha walked on Thursday, we need to analyze the information provided. Pasha went on a 5-day hike starting on Monday. Each day, starting from Tuesday, he walked 2 kilometers more than the previous day. In total, Pasha walked 70 kilometers.

Let's break down the information:

- Monday: Not mentioned. - Tuesday: Pasha walked x kilometers. - Wednesday: Pasha walked (x + 2) kilometers. - Thursday: Pasha walked (x + 4) kilometers. - Friday: Pasha walked (x + 6) kilometers. - Saturday: Pasha walked (x + 8) kilometers.

We know that the sum of all these distances is equal to 70 kilometers:

x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 70

Simplifying the equation:

5x + 20 = 70

5x = 50

x = 10

Therefore, on Tuesday, Pasha walked 10 kilometers, on Wednesday he walked 12 kilometers, on Thursday he walked 14 kilometers, on Friday he walked 16 kilometers, and on Saturday he walked 18 kilometers.

So, Pasha walked 14 kilometers on Thursday.