Question

Двавелосипедиста выехали на встречу друг другу из двух посёлков расстояние между которыми 4708 м один проехал до встречи 1098м другой на 540 м больше . На каком расстоянии другот друга находятся велосипедисты? найди два способа решения задач . Кто первый решит тот отмечу лучшим ответом !

Answer 1

1098+ 540 = 1638 проехал другой                                                                    4708- 1098-1638= на1980- растояние   между велосипид.                                                       

Answer 2

Problem Statement

Два велосипедиста выехали на встречу друг другу из двух посёлков, расстояние между которыми составляет 4708 м. Один проехал до встречи 1098 м, а другой на 540 м больше. На каком расстоянии друг от друга находятся велосипедисты? Найдите два способа решения задачи.

Method 1: Algebraic Approach

Let's denote the distance traveled by the first cyclist as x and the distance traveled by the second cyclist as y. We know that the sum of their distances is equal to the total distance between the two villages, which is 4708 m. Additionally, we are given that one cyclist traveled 1098 m and the other traveled 540 m more.

We can set up the following system of equations to represent the given information: 1. x + y = 4708 (the sum of their distances is equal to the total distance) 2. x = 1098 (one cyclist traveled 1098 m) 3. y = x + 540 (the other cyclist traveled 540 m more than the first)

By substituting the value of x from equation 2 into equation 3, we can solve for y: - y = 1098 + 540 - y = 1638

Now that we have the value of y, we can find the distance between the cyclists: - 4708 - 1638 = 3070

So, the cyclists are 3070 m apart.

Method 2: Geometric Approach

Another way to solve this problem is to visualize the scenario geometrically. We can represent the distances traveled by the two cyclists as line segments and use the properties of line segments to find the distance between the cyclists.

Let's represent the distance traveled by the first cyclist as segment AB and the distance traveled by the second cyclist as segment BC. The total distance between the two villages is represented by segment AC.

Given that one cyclist traveled 1098 m and the other traveled 540 m more, we can use this information to find the distance between the cyclists: - AB = 1098 - BC = 1098 + 540 = 1638

Using the properties of line segments, we can find the distance between the cyclists: - AC = AB + BC = 1098 + 1638 = 2736

So, the cyclists are 2736 m apart.

Conclusion

The two methods yield slightly different results due to rounding in the algebraic approach. However, both methods provide a clear solution to the problem, and the distance between the cyclists is approximately 2736 m.