Question

Длина участка прямоугольной формы на 200 м больше ширины, причём ширина составляет одну вторую длины. За какое время мальчик обойдёт этот участок, если его скорость 6 км в час?

Answer 1

Х - длина
у - ширина

х=2у
х=у+200

2у=у+200
у=200 м - ширина

2*200=400 м - длина
2(200+400)=1200м=1,2 км - периметр
1,2:6=0,2ч=12 мин
 

Answer 2

Problem Analysis

We are given that the length of a rectangular area is 200 meters longer than its width, and the width is one-third of the length. We need to find the time it takes for a boy to go around this area if his speed is 6 km/h.

Solution

Let's assume the width of the rectangular area is x meters. According to the given information, the length of the rectangular area is 200 meters longer than the width, so the length is x + 200 meters.

To find the time it takes for the boy to go around the area, we need to calculate the perimeter of the rectangular area. The perimeter of a rectangle is given by the formula: 2 * (length + width).

Substituting the values, the perimeter of the rectangular area is: 2 * (x + 200 + x) = 2 * (2x + 200) = 4x + 400 meters.

Now, we can calculate the time it takes for the boy to go around the area using the formula: time = distance / speed.

Substituting the values, the time it takes for the boy to go around the area is: (4x + 400) / 6 hours.

To find the time in minutes, we can multiply the time in hours by 60.

Let's calculate the time it takes for the boy to go around the area:

Calculation

- Width of the rectangular area (x) = 200 meters - Length of the rectangular area = x + 200 = 400 meters - Perimeter of the rectangular area = 4x + 400 = 1200 meters - Time to go around the area = (Perimeter / Speed) = (1200 / 6) = 200 hours - Time to go around the area in minutes = 200 * 60 = 12000 minutes

Answer

The boy will take 12000 minutes to go around the rectangular area.

Explanation

The width of the rectangular area is given as one-third of the length. So, if we assume the width as x, the length will be 3x. The perimeter of the rectangular area is calculated as 2 * (length + width). Substituting the values, we get 2 * (3x + x) = 8x. The time to go around the area is calculated by dividing the perimeter by the speed, which gives us (8x / 6) = (4x / 3). To find the time in minutes, we multiply the time in hours by 60, which gives us (4x / 3) * 60 = 240x. Since the width is given as 200 meters, substituting the value of x as 200, we get 240 * 200 = 48000 minutes. Simplifying further, we get 12000 minutes.