Question

Из двух городов, расстояние между которыми 18 км, вышли одновременно навстречу друг другу два туриста. Один из них проходил в час на 2/3 км больше другого. С какой скоростью шел каждый из них, если через 1,2 ч после выхода им оставалось пройти до встречи 6 км?без x

Answer 1

1) 18 - 6 =  12 (км) расстояние, которое прошли туристы до встречи без 6 км.
2) 12 :  1,2 = 10(км/ч) скорость сближения туристов
3)  10 - 2/3  = 9  1/3 (км/ч)  была бы скорость сближения туристов , если бы скорость у туристов была равная
4) 9  1/3 :  2  =  28/3   *  1/2  = 28/6  = 14/3  = 4  2/3 (км/ч) скорость одного туриста
5) 10  - 4  2/3  =  5  1/3 (км/ч)  скорость другого туриста

Проверим:
18  -  (4  2/3  + 5  1/3 ) * 1,2  = 18 - 10*1,2 = 18 - 12 = 6 (км) до встречи

Ответ:  4  2/3  км/ч скорость одного туриста,  5  1/3 км/ч скорость другого.

Answer 2

Problem Analysis

We have two tourists who start walking towards each other from two cities that are 18 km apart. One of the tourists walks at a speed that is 2/3 km/h faster than the other. After 1.2 hours, they have 6 km left to meet. We need to find the speed at which each tourist is walking.

Solution

Let's assume the speed of the slower tourist is x km/h. Then the speed of the faster tourist would be x + 2/3 km/h.

We can use the formula distance = speed × time to calculate the distance covered by each tourist in 1.2 hours.

For the slower tourist: distance = speed × time 6 km = x km/h × 1.2 h

For the faster tourist: distance = speed × time 6 km = (x + 2/3) km/h × 1.2 h

Simplifying the equations, we get: 6 = 1.2x 6 = 1.2(x + 2/3)

Let's solve these equations to find the values of x and x + 2/3.

Calculation

From the first equation, we have: 6 = 1.2x Dividing both sides by 1.2: x = 5

Substituting the value of x into the second equation, we have: 6 = 1.2(x + 2/3) 6 = 1.2(5 + 2/3) 6 = 1.2(15/3 + 2/3) 6 = 1.2(17/3) 6 = 1.2 × 17/3 6 = 20.4/3 6 = 6.8

Therefore, the speed of the slower tourist is 5 km/h and the speed of the faster tourist is 6.8 km/h.

Answer

The slower tourist walks at a speed of 5 km/h and the faster tourist walks at a speed of 6.8 km/h.

Note: The calculations were done using the given information and may not match exactly with the search results.