Question

Когда велосипедист проехал 6/10 всего пути,то оказалось,что он проехал на 5 км больше половины пути.Сколько километров осталось проехать велосипедисту? - 12км,30км,15км,25км или 20км?

Answer 1

Пусть весь путь Х.
6/10 пути = 6/10 * Х = 0,6Х
На 5 км больше половины пути = Х/2 + 5 = 0,5Х + 5
Получаем уравнение: 0,6Х = 0,5Х + 5
0,6Х-0,5Х=5
0,1Х=5
Х=50 - весь пусть.

Т.к. он проехал 6/10 пути, значит осталось 4/10 пути.
4/10 * 50 = 20 км.
Ответ 20 км

Answer 2

Calculating the Remaining Distance for the Cyclist

To calculate the remaining distance for the cyclist, we can use the information provided in the question. When the cyclist has traveled 6/10 of the total distance, it is stated that he has traveled 5 km more than half of the total distance.

Let's denote the total distance as D. According to the given information, the cyclist has traveled 6/10 of the total distance, which is 6/10 * D. Additionally, it is mentioned that this distance is 5 km more than half of the total distance, which is (1/2) * D + 5.

We can set up an equation to solve for the remaining distance.

Equation Setup and Solution

The equation can be set up as follows: 6/10 * D = (1/2) * D + 5

Solving for D: 6/10 * D = (1/2) * D + 5 6D/10 - (1D/2) = 5 3D/5 - D/2 = 5 (6D - 5D)/10 = 5 D/10 = 5 D = 10 * 5 D = 50 km

Now that we have found the total distance D to be 50 km, we can calculate the remaining distance.

Calculating the Remaining Distance

The remaining distance for the cyclist can be calculated as: Total distance - Distance traveled Remaining distance = 50 km - 6/10 * 50 km Remaining distance = 50 km - 30 km Remaining distance = 20 km

Therefore, the cyclist has 20 kilometers left to travel.

Based on the calculations, the correct answer is 20 km.