Question

Из двух поселков расстояние между которыми 192 км выехали навстречу друг другу два всадника. Первый выехал на 3 часа раньше и двигался ср скоростью 26 км/ч. Всадники встретились через два часа после выезда второго всадника. С какой скоростью двигался второй всадник?

Answer 1

1) 26 х 3 = 78 (км) проехал первый всадник, пока не начал движение второй
.2) 192 - 78 = 114 (км) - ехали одновременно навстречу друг другу два всадника 2 часа.
3) 114 : 2 = 57 (км/ч) - скорость сближения всадников.
4) 57 - 26 = 31 (км/ч) - скорость второго всадника. 

Answer 2

Problem Analysis

We are given that two riders set out from two villages that are 192 km apart. The first rider leaves 3 hours earlier and travels at a speed of 26 km/h. The riders meet 2 hours after the second rider sets out. We need to determine the speed of the second rider.

Solution

Let's assume that the second rider's speed is x km/h.

We can calculate the distance traveled by the first rider using the formula:

distance = speed × time

The first rider travels for a total of (t + 2) hours, where t is the time taken by the second rider. Therefore, the distance traveled by the first rider is:

distance1 = 26 × (t + 2)

The second rider travels for t hours at a speed of x km/h. Therefore, the distance traveled by the second rider is:

distance2 = x × t

Since the total distance between the two villages is 192 km, we can write the equation:

distance1 + distance2 = 192

Substituting the values of distance1 and distance2, we get:

26 × (t + 2) + x × t = 192

Simplifying the equation, we have:

26t + 52 + xt = 192

Rearranging the equation, we get:

xt + 26t = 192 - 52

t(x + 26) = 140

Dividing both sides of the equation by (x + 26), we get:

t = 140 / (x + 26)

We know that the riders meet 2 hours after the second rider sets out, so we can write:

t = 2

Substituting this value into the equation, we have:

2 = 140 / (x + 26)

Cross-multiplying, we get:

2(x + 26) = 140

Simplifying the equation, we have:

2x + 52 = 140

Subtracting 52 from both sides of the equation, we get:

2x = 88

Dividing both sides of the equation by 2, we get:

x = 44

Therefore, the second rider traveled at a speed of 44 km/h.

Answer

The second rider traveled at a speed of 44 km/h.

Explanation

The second rider's speed can be calculated by setting up an equation based on the distances traveled by both riders. By solving the equation, we find that the second rider traveled at a speed of 44 km/h.