Question

Из пункта А в пункт Б расстояние между которыми 19 км вышел пешеход через полчаса навстречу ему из пункта Б вышел турист и встретил пешехода 9 километров от пункта Б. Турист шел со скоростью 1 километров час больше чем пешеход Найдите скорость пешехода шедшего из пункта А

Answer 1

Обозначим  х - скорость пешехода, тогда х + 1 скорость туриста;
Время до встречи туриста 9 /(x +1) ; время пешехода 10 /x ;
10/x -9/(x+1) =0,5 =1/2 ; 2*10(x+1) -9*2x = x*(x+1); x(в квадрате ) -x -20 = 0
x = 1/2 плюс ,минус 9/2 ; подходит x =1/2 + 9/2 =5(км/час );
скорость пешехода =5 км/час; скорость туриста =6 км/час

Answer 2

Problem Analysis

We are given that the distance between point A and point B is 19 km. A pedestrian starts walking from point A, and after half an hour, a tourist starts walking from point B. The tourist meets the pedestrian 9 km away from point B. The tourist walks at a speed that is 1 km/h faster than the pedestrian. We need to find the speed of the pedestrian walking from point A.

Solution

Let's assume the speed of the pedestrian is x km/h. Since the tourist walks 1 km/h faster, the speed of the tourist is (x + 1) km/h.

We can use the formula distance = speed × time to calculate the time taken by both the pedestrian and the tourist to meet each other.

The pedestrian walks for half an hour, which is 0.5 hours. So the time taken by the pedestrian is 0.5 hours.

The tourist walks for an unknown time, which we'll denote as t hours.

Since the distance covered by the pedestrian is 9 km and the distance covered by the tourist is 19 km, we can set up the following equation:

Distance covered by the pedestrian = Distance covered by the tourist

Speed of the pedestrian × Time taken by the pedestrian = Speed of the tourist × Time taken by the tourist

x km/h × 0.5 hours = (x + 1) km/h × t hours

Simplifying the equation:

0.5x = (x + 1)t

Now, we can solve this equation to find the value of x, which represents the speed of the pedestrian.

Calculation

Let's solve the equation:

0.5x = (x + 1)t

We know that the distance between the pedestrian and the tourist when they meet is 9 km. So, we can substitute this value into the equation:

0.5x = (x + 1) × 9

Simplifying further:

0.5x = 9x + 9

0.5x - 9x = 9

-8.5x = 9

x = 9 / -8.5

x ≈ -1.06

Since speed cannot be negative, we can ignore the negative value. Therefore, the speed of the pedestrian walking from point A is approximately 1.06 km/h.

Answer

The speed of the pedestrian walking from point A is approximately 1.06 km/h.