Question

Помогите пожалуйста решить. Путь от посёлка до города велосипедист проехал за 2 ч., а пешеход прошёл за время, в 1.5 раза большее. Скорость велосипедиста на 6 км/ч больше скорости пешехода. Найдите скорость велосипедиста и длину дороги от поселка до города.

Answer 1

Скорость пешехода обозначим за х, значит скорость велосипедиста будет х+6.
х*2*1,5=(х+6)*2
3х=2х+12
х=12 -- это скорость пешехода, а скорость велосипедиста будет равна 18км/ч
S=12+18/2+3=30/5=6км-расстояние.

Answer 2

Problem Analysis

We are given that a cyclist traveled from a village to a city in 2 hours, while a pedestrian took 1.5 times longer. The cyclist's speed is 6 km/h faster than the pedestrian's speed. We need to find the cyclist's speed and the distance from the village to the city.

Solution

Let's assume the pedestrian's speed is x km/h. Therefore, the cyclist's speed is x + 6 km/h.

We know that the time it took for the cyclist to travel from the village to the city is 2 hours, and the time it took for the pedestrian is 1.5 times longer. Therefore, the time for the pedestrian is 2 * 1.5 = 3 hours.

We can use the formula distance = speed * time to find the distance from the village to the city.

For the cyclist: distance = (x + 6) * 2

For the pedestrian: distance = x * 3

Since both distances are the same, we can set them equal to each other and solve for x:

(x + 6) * 2 = x * 3

Simplifying the equation: 2x + 12 = 3x

Subtracting 2x from both sides: 12 = x

Therefore, the pedestrian's speed is 12 km/h, and the cyclist's speed is 12 + 6 = 18 km/h.

To find the distance from the village to the city, we can substitute the pedestrian's speed into the distance formula: distance = 12 * 3 = 36 km

Answer

The cyclist's speed is 18 km/h, and the distance from the village to the city is 36 km.