Question

Из пунктов А и В, расстояние между которыми 27 км, вышли одновременно навстречу друг другу два туриста и встретились в 12 км от пункта В. Турист, шедший из А, сделал в пути получасовую остановку. Найдите скорость туриста, шедшего из В, если известно, что он шёл со скоростью, на 2 км/ч меньшей, чем первый турист.

Answer 1

15/x-12/y=1/2-это первое уравнение

x-y=2-второе уравнение

Выражаешь либо х,либо у через второе уравнение,подставляешь,в первое и решаешь

 

Answer 2

Problem Analysis

To solve this problem, we need to find the speed of the tourist walking from point B, given that the distance between points A and B is 27 km, two tourists started walking towards each other simultaneously, and they met 12 km from point B. Additionally, the tourist walking from point A made a 30-minute stop during the journey.

Solution

Let's denote the speed of the tourist walking from point A as V km/h and the speed of the tourist walking from point B as V-2 km/h (as it is 2 km/h less than the first tourist's speed).

The time it took for the two tourists to meet is the same for both of them. We can use the formula: time = distance / speed.

The time for the first tourist is the sum of the time spent walking and the time spent during the stop. The time for the second tourist is just the time spent walking.

Calculation

1. The time for the first tourist: - Time spent walking = (27 - 12) / V hours - Time spent during the stop = 0.5 hours - Total time for the first tourist = (27 - 12) / V + 0.5 hours

2. The time for the second tourist: - Time spent walking = 12 / (V - 2) hours

Since the time for both tourists is the same, we can set up an equation and solve for V.

Equation

The equation is: (27 - 12) / V + 0.5 = 12 / (V - 2)

Solution

Solving the equation will give us the value of V, which is the speed of the tourist walking from point A. Then, we can find the speed of the tourist walking from point B by subtracting 2 km/h from V.

Let's calculate the value of V.