Question

Из села одновременно в противоположных направлениях вышли два пешехода.скорость одного из них равна 4 2/3 км/ч,что в 1 1/6 раза больше скорости второго.через сколько времени расстояние между пешеходами составит 26 км?

Answer 1

Решала долго=)
Ответ:6 мин и 3,5 мин

Answer 2

Problem Analysis

We have two pedestrians who start walking simultaneously in opposite directions. The speed of one pedestrian is 4 2/3 km/h, which is 1 1/6 times faster than the speed of the other pedestrian. We need to find out how long it will take for the distance between the pedestrians to be 26 km.

Solution

Let's assume the speed of the slower pedestrian is x km/h. According to the problem, the speed of the faster pedestrian is 1 1/6 times faster than the speed of the slower pedestrian. Therefore, the speed of the faster pedestrian is (1 + 1/6)x km/h.

We can set up the following equation to represent the relationship between the speeds of the two pedestrians:

(1 + 1/6)x = 4 2/3

To solve this equation, we need to convert the mixed number 4 2/3 to an improper fraction.

4 2/3 = (4 * 3 + 2) / 3 = 14/3

Now we can solve the equation:

(1 + 1/6)x = 14/3

To simplify the equation, we can multiply both sides by 6 to eliminate the fraction:

6(1 + 1/6)x = 6 * 14/3

Simplifying further:

7x = 28

Dividing both sides by 7:

x = 4

So, the speed of the slower pedestrian is 4 km/h, and the speed of the faster pedestrian is (1 + 1/6) * 4 = 5 1/3 km/h.

Now we can calculate the time it takes for the distance between the pedestrians to be 26 km. We can use the formula:

time = distance / speed

For the slower pedestrian:

time = 26 km / 4 km/h = 6.5 hours

For the faster pedestrian:

time = 26 km / (5 1/3 km/h) = 4.875 hours

Therefore, the distance between the pedestrians will be 26 km after approximately 6.5 hours.

Answer

The distance between the two pedestrians will be 26 km after approximately 6.5 hours.