Question

Улитка проползла 2 метра. Если бы она проползала в минуту на 30 см больше, то этот путь занял бы у неё на 1,5 минуты меньше времени. Найди скорость улитки.

Answer 1

Пусть х скорость улитки тогда разность во времени составила 2/(х+0,3)-2/х , т.к. 30 см=0,3 метра. Составим уравнение:
2/(х+0,3)-2/х=1,5
2х-2х+0,6=1,5х(х+0,3)
0,6=1,5х²+0,45х
1,5х²+0,45х-0,6=0
D=3.8025
х1= (-0,45-1,95)/3=-2,4/3=-0,8 (не может быть отрицательной)
х2= (-0,45+1,95)/3=1,5/3=0,5 м/мин скорость улитки.
Ответ: 0,5 м/мин.

Answer 2

Problem Analysis

We are given that a snail crawled a distance of 2 meters. If it had crawled 30 cm more per minute, it would have taken 1.5 minutes less to cover the same distance. We need to find the speed of the snail.

Solution

Let's assume the snail's original speed is x cm/min. According to the given information, if the snail had crawled 30 cm more per minute, it would have taken 1.5 minutes less to cover the same distance.

Using this information, we can set up the following equation:

2 / (x + 30) = 2 / x - 1.5

To solve this equation, we can cross-multiply and simplify:

2x = (x + 30) * (2 - 1.5)

2x = 2x + 60 - 45

2x - 2x = 15

0 = 15

The equation has no solution, which means there is no consistent speed that satisfies the given conditions. Therefore, we cannot determine the speed of the snail based on the given information.