Question

Вдоль шоссе начерчена координатная прямая.Длина одного единичного отрезка равна 2 м.Все двигаются только вдоль координатной прямой.На числе 2 стояли Элли и Страшила.Потом они одновременно пошли в разные стороны и остановились. Элли прошла расстояние в 2 раза большее,чем Страшила, и оказалось на числе 14.На каком числе оказался Страшила? Сколько метров он прошёл?

Answer 1

Problem Analysis

We are given a scenario where Ellie and Scarecrow are standing on a coordinate line. They start walking in opposite directions and stop after some time. We need to determine the position where Scarecrow stops and the distance he traveled.

Solution

Let's break down the problem step by step:

1. We know that the length of one unit on the coordinate line is 2 meters. 2. Ellie and Scarecrow start at position 2 on the coordinate line. 3. Ellie walks a distance that is twice as long as Scarecrow's distance. 4. Ellie ends up at position 14 on the coordinate line. 5. We need to find the position where Scarecrow stops and the distance he traveled.

Let's solve the problem:

1. Let's assume that Scarecrow stops at position x on the coordinate line. 2. Since Ellie walks a distance that is twice as long as Scarecrow's distance, we can say that Ellie walks a distance of 2x. 3. We know that the length of one unit on the coordinate line is 2 meters. So, the distance Ellie walks is 2 * 2x = 4x meters. 4. Ellie ends up at position 14 on the coordinate line. Therefore, 4x = 14. 5. Solving the equation, we find that x = 14 / 4 = 7/2 = 3.5. 6. Scarecrow stops at position 3.5 on the coordinate line. 7. To find the distance Scarecrow traveled, we can calculate 2 * 3.5 = 7 meters.

Answer

Scarecrow stops at position 3.5 on the coordinate line, and he traveled a distance of 7 meters.

Please let me know if anything is unclear or if you need further assistance!