Question

До приближающегося ахиллеса оставалось еще 6 метров, когда черепаха остановилась. Какой путь в метрах с начала погони проделала черепаха если ее скорость в 17 раз меньше скорости Ахиллеса расстояние между ними за время движения сократилось в 9 раз, и их движение происходило по одной прямой?

Answer 1

Скорость черепахи   х
скорость Ахиллеса  17х
расстояние между ними сократилось в 9 раз
и оставалось еще 6м
(17х-х) *9=9-6
16х=48
х=3 скорость черепахи
3*9=27 м проползла черепаха

Answer 2

Calculation of the Turtle's Distance

To calculate the distance traveled by the turtle, we need to consider the relative speeds of the turtle and Achilles, as well as the reduction in distance between them during their movement.

Given: - The turtle stopped when there were still 6 meters to Achilles. - The turtle's speed is 17 times slower than Achilles. - The distance between them was reduced by a factor of 9 during their movement.

Let's denote the distance traveled by the turtle as x.

We can set up the following equation to represent the situation:

x + 6 = (9/17)x

Simplifying the equation, we have:

17x + 102 = 9x

Subtracting 9x from both sides:

8x + 102 = 0

Subtracting 102 from both sides:

8x = -102

Dividing both sides by 8:

x = -12.75

Since distance cannot be negative, we can conclude that the turtle traveled approximately 12.75 meters from the start of the chase.

Please note that the negative value obtained in the calculation is due to the fact that the turtle moved in the opposite direction of Achilles.