Question

Два велосипедиста выехали одновременно навстречу с друг другу из двух сёл A и B.первый прибыл в B через 16 мин после встречи а второй прибыл в A через 25 мин после встречи. через сколько минут после выезда из своих сёл они встретились .ПОМОГИТЕ СРОЧНО ПОЖАЛУЙСТА.

Answer 1

                                  Ответ : 20 минут   ..........................

Answer 2

Problem Analysis

Two cyclists start simultaneously from two villages, A and B, and ride towards each other. The first cyclist arrives at village B 16 minutes after their meeting, while the second cyclist arrives at village A 25 minutes after their meeting. We need to determine how many minutes after their departure from their respective villages they met.

Solution

Let's assume that the two cyclists meet after x minutes of riding.

From the given information, we can deduce the following: - The first cyclist rides for x + 16 minutes before reaching village B. - The second cyclist rides for x + 25 minutes before reaching village A.

To find the total time taken by the first cyclist, we can add the time taken to reach village B after the meeting (x + 16) to the time taken before the meeting (x): Total time taken by the first cyclist = x + (x + 16) = 2x + 16

Similarly, to find the total time taken by the second cyclist, we can add the time taken to reach village A after the meeting (x + 25) to the time taken before the meeting (x): Total time taken by the second cyclist = x + (x + 25) = 2x + 25

Since the total time taken by both cyclists should be the same, we can set up the following equation: 2x + 16 = 2x + 25

Simplifying the equation, we get: 16 = 25

This equation is not possible to solve because it leads to a contradiction. Therefore, there is no solution to this problem.

Conclusion

Based on the given information, it is not possible to determine the number of minutes after their departure from their respective villages that the two cyclists met.