Question

Из города одновременно в противоположных направлениях вышли два путешественника. Через 5 ч расстояние между ними было равно 45 км. Первый путешественник шел со скоростью 4 км/ч. С какой скоростью шёл второй путешественник?

Answer 1

V2-x
(4+x)5=45
20+5x=45
5x=45-20
5x=25:5
x=5(км/ч)

Answer 2

1) 45:5=9 км/ч скорость отдаления
2) 9-4=5 км/ч скорость второго пешехода

2 способ:
Пусть скорость 2го путешественника х, тогда общай скорость (х+4)
(х+4)*5=45
х+4=45:5
х+4=9
х=5 км/ч скорость 2-ого путешественника

Answer 3

Problem Analysis

We have two travelers who start from the same city in opposite directions. After 5 hours, the distance between them is 45 km. The first traveler is moving at a speed of 4 km/h. We need to find the speed of the second traveler.

Solution

Let's assume the speed of the second traveler is x km/h.

The distance covered by the first traveler in 5 hours is: Distance1 = Speed1 * Time = 4 km/h * 5 h = 20 km.

The distance covered by the second traveler in 5 hours is: Distance2 = Speed2 * Time = x km/h * 5 h = 5x km.

Since the total distance between them after 5 hours is 45 km, we can write the equation: Distance1 + Distance2 = 45 km.

Substituting the values of Distance1 and Distance2, we get: 20 km + 5x km = 45 km.

Simplifying the equation, we have: 5x km = 45 km - 20 km, 5x km = 25 km.

Dividing both sides of the equation by 5, we find: x km = 25 km / 5, x km = 5 km/h.

Therefore, the second traveler was moving at a speed of 5 km/h.

Answer

The second traveler was moving at a speed of 5 km/h.