Question

Два велосипедиста выехали одновременно из двух городов навстречу друг другу.Когда они встретились, то оказалось, что один из них проехал 4/9 всего пути и еще 12 км, а второй половину того, что проехал первый. Найдите расстояние между городами.

Answer 1

(4/9)/2=2/9
12/2=6
проехал второй

2/9+4/9=6/9
1-6/9=3/9
12+6=18
если 3/9 18км
(18/3)*9=54
Ответ:54км

Answer 2

Problem Analysis

Two cyclists start simultaneously from two different cities and meet each other at some point. We need to find the distance between the two cities based on the given information.

Given Information

- One cyclist traveled 4/9 of the total distance and an additional 12 km. - The other cyclist traveled half of what the first cyclist traveled.

Solution

Let's assume the total distance between the two cities is D.

Based on the given information, we can set up the following equations:

Equation 1: The first cyclist traveled 4/9 of the total distance and an additional 12 km. Equation 2: The second cyclist traveled half of what the first cyclist traveled.

To solve for D, we can use these equations.

Solution Steps

Step 1: Express the distance traveled by the first cyclist in terms of D. Step 2: Express the distance traveled by the second cyclist in terms of D. Step 3: Set up an equation using the information from both cyclists. Step 4: Solve the equation to find the value of D.

Let's calculate the distance between the two cities using these steps.

Solution Steps

Step 1: Express the distance traveled by the first cyclist in terms of D. The first cyclist traveled 4/9 of the total distance and an additional 12 km. So, the distance traveled by the first cyclist can be expressed as (4/9)D + 12.

Step 2: Express the distance traveled by the second cyclist in terms of D. The second cyclist traveled half of what the first cyclist traveled. So, the distance traveled by the second cyclist can be expressed as (1/2)((4/9)D + 12).

Step 3: Set up an equation using the information from both cyclists. When the two cyclists meet, the sum of their distances traveled should be equal to the total distance between the cities. So, we can set up the equation: (4/9)D + 12 + (1/2)((4/9)D + 12) = D.

Step 4: Solve the equation to find the value of D. Let's solve the equation:

(4/9)D + 12 + (1/2)((4/9)D + 12) = D

Simplifying the equation:

(4/9)D + 12 + (2/9)D + 6 = D

Combining like terms:

(6/9)D + 18 = D

Multiplying both sides by 9 to eliminate the fraction:

6D + 162 = 9D

Subtracting 6D from both sides:

162 = 3D

Dividing both sides by 3:

D = 54

Therefore, the distance between the two cities is 54 km.

Answer

The distance between the two cities is 54 km.