Question

Велосепидист должен был проехать весь путь с определенной скорростью за 2 часа но она ехал со скоростью превышающей намеченную на 3 км/ч а поэтому на весь путь затраил 1 целую две третьих.найдите длину пути. задача 7 класс по алгебре помогите пожалуйста срочно 7 класс

Answer 1

Составление уравнения
2*х = (х+3)*1.2/3
2х=х1.2/3+5
1/3х=5
х=15

Answer 2

To find the length of the path, we can use the formula:

Distance = Speed × Time

Let's break down the information given in the problem:

- The cyclist was supposed to cover the entire distance in 2 hours. - However, the cyclist was traveling at a speed that exceeded the planned speed by 3 km/h. - As a result, the cyclist was delayed by 1 and 2/3 hours.

Now, let's solve the problem step by step:

Step 1: Define the variables

Let's assume: - The planned speed of the cyclist is x km/h. - The actual speed at which the cyclist traveled is (x + 3) km/h. - The total distance to be covered is d km.

Step 2: Calculate the time taken at the planned speed

Using the formula Distance = Speed × Time, we can calculate the time taken at the planned speed:

d = x × 2

Step 3: Calculate the time taken at the actual speed

Using the formula Distance = Speed × Time, we can calculate the time taken at the actual speed:

d = (x + 3) × (2 + 1 + 2/3)

Step 4: Equate the two expressions for distance

Since the distance covered is the same in both cases, we can equate the two expressions for distance:

x × 2 = (x + 3) × (2 + 1 + 2/3)

Step 5: Solve the equation for x

Let's solve the equation to find the value of x:

2x = (x + 3) × (8/3)

Simplifying the equation, we get:

6x = 8x + 24

2x = 24

x = 12

Step 6: Calculate the distance

Now that we have the value of x, we can substitute it back into one of the equations to find the distance:

d = x × 2

d = 12 × 2

d = 24 km

Therefore, the length of the path is 24 km.

Please note that this solution assumes a constant speed throughout the journey and does not take into account factors such as acceleration or deceleration.