Question

Б) Два поїзди вирушили одночасно з однієї станції в протилежних напрямках з однаковою швидкістю. Перший поїзд був у дорозі 9 год. а другий - 12,4 год. Яку відстань проїхав кожен поїзд, якщо другий проїхав на 221 км більше, ніж перший? Срочно!!!​

Answer 1

Пошаговое объяснение:

Тримай свою відповідь.

Answer 2

Problem Analysis

To solve this problem, we can use the formula Distance = Speed × Time. Since both trains have the same speed, we can use this formula to calculate the distance traveled by each train.

Calculating the Distance Traveled by Each Train

Let's denote: - \( D_1 \) as the distance traveled by the first train - \( D_2 \) as the distance traveled by the second train - \( T_1 \) as the time taken by the first train - \( T_2 \) as the time taken by the second train

Given: - \( T_1 = 9 \) hours - \( T_2 = 12.4 \) hours - \( D_2 = D_1 + 221 \) km

We can use the formula Distance = Speed × Time for both trains: - For the first train: \( D_1 = \text{Speed} \times T_1 \) - For the second train: \( D_2 = \text{Speed} \times T_2 \)

Solving for the Distance Traveled

Since both trains have the same speed, we can set up the following equations: 1. \( D_1 = \text{Speed} \times 9 \) 2. \( D_2 = \text{Speed} \times 12.4 \) 3. \( D_2 = D_1 + 221 \)

We can use these equations to solve for the distance traveled by each train.

Solution

Let's solve for the distance traveled by each train using the given information and the equations:

From equation 1, we have \( D_1 = \text{Speed} \times 9 \) From equation 2, we have \( D_2 = \text{Speed} \times 12.4 \) From equation 3, we have \( D_2 = D_1 + 221 \)

By substituting the expressions for \( D_1 \) and \( D_2 \) from equations 1 and 2 into equation 3, we can solve for the speed and then use it to find the distances traveled by each train.

Let's calculate the distances traveled by each train.