Question

Ростояние между двумя станциями 784 км. Одновременно вышли на встречу с этих станций два поезда.Они встретились через 8 часов.Найти скорость каждого поезда,если скорость первого на 10 км/ч больше второго

Answer 1

Пусть скорость второго поезда=х,тогда скорость первого=х+10.А скорость сближения=х+х+10(км/час).За 8 час они вместе прошли 784 км.

Составим и решим уравнение:(х+х+10)*8=784

(2х+10)*8=784

16х=784-80

х=704:16

х=44км/час- скорость второго поезда.

А скорость первого поезда=44+10=54км/час

Answer 2

Problem Analysis

We are given that the distance between two stations is 784 km and two trains start simultaneously from these stations and meet after 8 hours. We need to find the speed of each train, given that the speed of the first train is 10 km/h greater than the speed of the second train.

Solution

Let's assume the speed of the second train is x km/h. Then the speed of the first train would be x + 10 km/h.

We can use the formula speed = distance / time to find the speeds of the trains.

The time taken by both trains to meet is 8 hours. Since they are traveling towards each other, the total distance covered by both trains would be equal to the distance between the two stations, which is 784 km.

Let's calculate the speeds of the trains using the given information.

Calculation

Let's assume the speed of the second train is x km/h. Then the speed of the first train would be x + 10 km/h.

The total distance covered by both trains is 784 km.

Using the formula speed = distance / time, we can calculate the speeds of the trains as follows:

Speed of the first train = 784 km / 8 hours = 98 km/h.

Speed of the second train = (x + 10) km/h.

Since the total speed of both trains is equal to the distance covered divided by the time taken, we can write the equation:

98 km/h + (x + 10) km/h = 784 km / 8 hours.

Simplifying the equation:

98 km/h + x km/h + 10 km/h = 98 km/h + x km/h = 784 km / 8 hours.

Now we can solve for x to find the speed of the second train.

98 km/h + x km/h = 784 km / 8 hours.

x km/h = (784 km / 8 hours) - 98 km/h.

x km/h = 98 km/h.

Therefore, the speed of the second train is 98 km/h.

Since the speed of the first train is 10 km/h greater than the speed of the second train, the speed of the first train is 98 km/h + 10 km/h = 108 km/h.

Answer

The speed of the first train is 108 km/h and the speed of the second train is 98 km/h.

Please let me know if I can help you with anything else.