Question

Два пешехода находились на расстоянии 3,2 км друг от друга. Они вышли одновременно в противоположных направлениях и через 0,4 ч оказались на расстоянии 6,8 км друг от друга. Найди скорости пешеходов, если известно, что скорость одного из пешеходов на 0,6 км/ч больше скорости другого пешехода.

Answer 1

За 0.4 часа пешеходы прошли:  6.8 - 3.2 = 3.6 км.

Пусть скорость медленного пешехода будет X км/ч, тогда быстрого (X + 0.6) км/ч.

3.6 = 0.4 * (x + (x + 0.6));

9 = 2x + 0.6;

2x = 8,4;

x = 4.2 км/ч скорость одного пешехода.

4.2 + 0.6 = 4.8 км/ч скорость другого

Answer 2

Problem Analysis

We have two pedestrians who start walking simultaneously in opposite directions. After 0.4 hours, they are 6.8 km apart. We need to find the speeds of the pedestrians, given that the speed of one pedestrian is 0.6 km/h greater than the speed of the other pedestrian.

Solution

Let's assume the speed of the slower pedestrian is x km/h. Then the speed of the faster pedestrian would be x + 0.6 km/h.

We can use the formula distance = speed × time to calculate the distances covered by each pedestrian.

The slower pedestrian covers a distance of x × 0.4 km in 0.4 hours, and the faster pedestrian covers a distance of (x + 0.6) × 0.4 km in the same time.

According to the problem, the total distance covered by both pedestrians is 6.8 km. So we can write the equation:

(x × 0.4) + ((x + 0.6) × 0.4) = 6.8

Now we can solve this equation to find the value of x.

Calculation

Let's solve the equation:

(x × 0.4) + ((x + 0.6) × 0.4) = 6.8

Simplifying the equation:

0.4x + 0.4(x + 0.6) = 6.8

0.4x + 0.4x + 0.24 = 6.8

0.8x + 0.24 = 6.8

0.8x = 6.8 - 0.24

0.8x = 6.56

x = 6.56 / 0.8

x = 8.2

So the speed of the slower pedestrian is 8.2 km/h and the speed of the faster pedestrian is 8.2 + 0.6 = 8.8 km/h.

Answer

The speed of the slower pedestrian is 8.2 km/h and the speed of the faster pedestrian is 8.8 km/h.