Question

Пешеход прошёл 4 км,велосипедист проехал 12 км.Скорость велосипедиста на 10 км больше скорости пешехода

Answer 1

Скорость пешехода 5км велосипедиста 15км

Answer 2

Problem Analysis

To solve this problem, we need to find the speeds of the pedestrian and the cyclist. We know that the pedestrian walked 4 km and the cyclist rode 12 km. Additionally, the cyclist's speed is 10 km/h faster than the pedestrian's speed.

Solution

Let's denote the speed of the pedestrian as x km/h and the speed of the cyclist as x + 10 km/h.

We can use the formula: speed = distance / time to find the time taken by each person.

For the pedestrian: - Speed = x km/h - Distance = 4 km - Time = Distance / Speed = 4 / x hours

For the cyclist: - Speed = x + 10 km/h - Distance = 12 km - Time = Distance / Speed = 12 / (x + 10) hours

Now, we can set up an equation using the time taken by the pedestrian and the cyclist: 4 / x = 12 / (x + 10)

Let's solve for x.

Calculation

Using the equation 4 / x = 12 / (x + 10), we can solve for x.

4 / x = 12 / (x + 10)

Cross-multiply: 4(x + 10) = 12x

Expand and simplify: 4x + 40 = 12x 40 = 12x - 4x 40 = 8x

Divide by 8: x = 5

Answer

The speed of the pedestrian is 5 km/h and the speed of the cyclist is 15 km/h.