Question

Участники похода часть пути шли пешком. Часть ехали на великах. пешком прошли 35% всего пути и ещё 14 км., проехали две пятых всего пути и 26 км. чему равен весь путь?

Answer 1

Х-весь путь
35/100х+14+2/5х+26=х
0,35х+40+0,4х=х
0,75х+40=х
х-0,75х=40
0,25х=40
х=40/0,25=4000/25=160км

Answer 2

Participants of the Journey

According to the information provided, the participants of the journey traveled both on foot and by bicycles. They walked 35% of the total distance and covered an additional 14 kilometers. They also rode bicycles for two-fifths of the total distance and covered 26 kilometers. We need to determine the total distance of the journey.

Calculation

Let's assume the total distance of the journey is represented by the variable x.

The distance covered on foot is 35% of the total distance, which can be expressed as 0.35x. Additionally, they covered an additional 14 kilometers on foot.

The distance covered by bicycles is two-fifths (or 40%) of the total distance, which can be expressed as 0.4x. They also covered an additional 26 kilometers on bicycles.

To find the total distance, we can set up the following equation:

0.35x + 14 + 0.4x + 26 = x

Simplifying the equation:

0.75x + 40 = x

Rearranging the equation:

0.25x = 40

Dividing both sides by 0.25:

x = 40 / 0.25

Calculating the value of x:

x = 160

Answer

The total distance of the journey is 160 kilometers.