Question

Из пункта А в пункт В расстояние между которыми 27 км вышел турист.Через часа навстречу ему из пункта В вышел пешеход и встретил туриста в 12 км от А.Найдите скорость туриста, если известно что она была на 2 км\ч меньше скорости пешехода. срочно

Answer 1

пусть х км/ч -скорость туриста, тогда

(х+2) км/ч - скорость пешехода ;

до встречи турист прошел 12 км, а пешеход  прошел до встречи 27-12=15/км/,

турист прошел до встречи (12//х) ч,  а пешеход  15/(х+2) ч. т.к. пешеход вышел через час после выхода туриста, то в пути он был на час меньше; отсюда уравнение

12/х-(15/(х+2))=1

х≠-2; х≠0

приведем дроби к ОЗ, получим 12х+24-15х=х²+2х;

х²+5х-24=0; по Виету х=-8; ∅; т.к. скорость не может быть отрицательной. х=3 значит, 3 км/ч - скорость туриста.

Ответ 3 км/ч

Answer 2

Problem Statement

A tourist has traveled from point A to point B, which are 27 km apart. An hour later, a pedestrian from point B met the tourist 12 km from point A. The tourist's speed is known to be 2 km/h less than the pedestrian's speed. We need to find the tourist's speed.

Solution

To solve this problem, we can use the formula for calculating speed: speed = distance / time.

First, let's calculate the time it took for the pedestrian to meet the tourist.

The pedestrian's speed will be represented as x km/h and the tourist's speed as (x - 2) km/h.

The time it took for the pedestrian to meet the tourist can be calculated using the formula: time = distance / speed

The distance covered by the pedestrian in the time it took to meet the tourist is 12 km.

Calculations

Using the formula time = distance / speed, we can calculate the time it took for the pedestrian to meet the tourist.

For the pedestrian: time = 12 / x hours

For the tourist: time = 27 / (x - 2) hours

Since the pedestrian and the tourist met at the same time, we can set up the equation: 12 / x = 27 / (x - 2)

Solving for x will give us the pedestrian's speed, and then we can find the tourist's speed.

Final Steps

Let's solve the equation 12 / x = 27 / (x - 2) to find the value of x, which represents the pedestrian's speed. Then, we can find the tourist's speed by subtracting 2 from the pedestrian's speed.

I'll calculate the value of x and the tourist's speed based on the given information.