Question

Із двох міст, відстань між якими 770 км,одночасно вирушили назустріч один одному два потяги.Перший потяг рухався зі швидкістю 52 км/год.Знайди швидкість другого потяга, якщо вони зустрілися через 7 год.

Answer 1

52 * 7 = 364 км прошёл первый поезд
770 - 364 = 406 км прошёл второй поезд
406 / 7 = 58 км/ч скорость второго поезда
Ответ 58 км/ч

Answer 2

Problem Analysis

We have two trains traveling towards each other from two cities that are 770 km apart. The first train is moving at a speed of 52 km/h. We need to find the speed of the second train given that they meet after 7 hours.

Solution

To find the speed of the second train, we can use the formula:

Distance = Speed × Time

Let's assume the speed of the second train is x km/h. The first train has been traveling for 7 hours at a speed of 52 km/h, so it has covered a distance of:

Distance of the first train = Speed of the first train × Time = 52 km/h × 7 hours

The second train has also been traveling for 7 hours, but we don't know its speed. However, we do know that the total distance covered by both trains is 770 km. Therefore, the distance covered by the second train is:

Distance of the second train = Total distance - Distance of the first train = 770 km - (52 km/h × 7 hours)

Now, we can set up an equation to find the speed of the second train:

Distance of the second train = Speed of the second train × Time = (770 km - (52 km/h × 7 hours))

Simplifying the equation:

Speed of the second train = (770 km - (52 km/h × 7 hours)) / 7 hours

Let's calculate the speed of the second train using this equation.

Calculation

Using the given values, we can calculate the speed of the second train:

Speed of the second train = (770 km - (52 km/h × 7 hours)) / 7 hours

Speed of the second train = (770 km - (364 km)) / 7 hours

Speed of the second train = 406 km / 7 hours

Speed of the second train ≈ 58.0 km/h

Answer

The speed of the second train is approximately 58.0 km/h.

Please note that the above calculation assumes constant speeds for both trains throughout the journey.