Question

Из некоторого пункта вышли одновременно два отряда. Один направился на север, а другой на восток. Спустя 4 часа расстояние между отрядами было равно 24 км, причем первый отряд прошел на 4.8 км больше , чем второй. С какой скоростью шел каждый отряд ?

Answer 1

Итак, что мы имеем: время пути одинаковое (4ч), путь первого х км, а второго (х+4,8)км, скорость первого 1/4 км/ч, а второго 1/4(х+4,8)км/ч

Так как картинка их путей похожа на прямоугольный треугольник (одии на север-первый катет, другой на восток-второй катет), то решить можно с помощью теоремы Пифагора

Пусть гипотенуза - расстояние между отрядами после 4 часов пути, тогда

24^2=(х+4,8)^2+x^2

x^2+9целых3/5x+23целых1/25x+x^2-576=0

Чтобы избавиться от дробей, домножим на 25

50x^2+240x-13824=0

D=57600-4*50*(-13824)=2822400, х1=14,4; х2=-19,2 (не удовлетворяет смыслу)

Если х=14,4, то х+4,8=19,2

V1=19,2/4=4,8 км/ч

V2=14,4/4=3,6 км/ч

Answer 2

Problem Analysis

We have two squads that start from the same point and move in different directions. After 4 hours, the distance between the squads is 24 km, with the first squad having traveled 4.8 km more than the second squad. We need to determine the speed at which each squad is moving.

Solution

Let's assume the speed of the first squad is x km/h and the speed of the second squad is y km/h.

We know that the distance traveled by each squad is equal to their respective speeds multiplied by the time taken. Since both squads started at the same time, the time taken by both squads is 4 hours.

The distance traveled by the first squad is x * 4 km, and the distance traveled by the second squad is y * 4 km.

According to the problem, the distance between the squads after 4 hours is 24 km, and the first squad has traveled 4.8 km more than the second squad. This can be expressed as:

(x * 4) - (y * 4) = 24 (equation 1)

and

(x * 4) = (y * 4) + 4.8 (equation 2)

We can solve these two equations simultaneously to find the values of x and y.

Solving the Equations

Let's solve equation 2 for x:

(x * 4) = (y * 4) + 4.8

Dividing both sides by 4:

x = (y + 1.2) (equation 3)

Substituting equation 3 into equation 1:

((y + 1.2) * 4) - (y * 4) = 24

Expanding and simplifying:

4.8 + 4y - 4y = 24

Simplifying further:

4.8 = 24

This equation is not possible, as it leads to an inconsistency. Therefore, there is no solution to this problem.

Conclusion

Based on the given information, it is not possible to determine the speeds at which each squad is moving. The problem seems to have contradictory information or missing details that would allow us to find a solution.