Question

Из двух городов одновременно навстречу друг друга выехали два мотоциклиста и встретились через 3 часа. Скорость первого мотоциклиста - 75 км/ч, а скорость второго мотоциклиста на 5 км/ч больше скорости первого. Найди расстояние между городами.

Answer 1

75+5=80км/ч
80+75=155км/ч
155×3=465км

Answer 2

Problem Analysis

We are given that two motorcyclists start simultaneously from two different cities and meet each other after 3 hours. The speed of the first motorcyclist is 75 km/h, and the speed of the second motorcyclist is 5 km/h faster than the speed of the first motorcyclist. We need to find the distance between the two cities.

Solution

Let's assume the speed of the first motorcyclist is x km/h. According to the problem, the speed of the second motorcyclist is 5 km/h faster, so the speed of the second motorcyclist is x + 5 km/h.

We know that distance = speed × time. Since both motorcyclists travel for the same amount of time (3 hours), we can set up the following equation:

Distance covered by the first motorcyclist = Distance covered by the second motorcyclist

Using the formula distance = speed × time, we can write:

x × 3 = (x + 5) × 3

Simplifying the equation:

3x = 3x + 15

Subtracting 3x from both sides:

0 = 15

This equation has no solution, which means there is an error in the problem statement. The given information is contradictory, and it is not possible to determine the distance between the two cities based on the given information.

Therefore, we cannot find the distance between the two cities with the information provided.

Conclusion

Based on the given information, it is not possible to determine the distance between the two cities. The problem statement contains contradictory information, and the equation derived from the given information has no solution.