Question

Расстояние между 2 станциями 531,76 км.на встречу выехали 2 поезда и они встретились через 3,4 часа найдите скорости поездов если известно что скорость одного из них в 1,3 раза больше скорости другого

Answer 1

Х км\ч- скорость 1 поезда
1.3х км\ч - скорость 2 поезда
3.4(х+1.3х)=531.76
3.4*2.3х=531.76
7.82х=531.76
х=531.76:7.82
х=68 км\ч - скорость 1 поезда
1.3*68=88.4 км\ч- скорость 2 поезда

Answer 2

Problem Analysis

We are given that the distance between two stations is 531.76 km. Two trains start from these stations and meet after 3.4 hours. We need to find the speeds of the trains, given that the speed of one train is 1.3 times the speed of the other train.

Solution

Let's assume the speed of one train is x km/h. Then, the speed of the other train will be 1.3x km/h.

We can use the formula: Speed = Distance / Time to find the speeds of the trains.

Let's calculate the speeds of the trains.

Calculation

The distance between the two stations is 531.76 km.

The time taken for the trains to meet is 3.4 hours.

Let's calculate the speed of the first train (x km/h): x = Distance / Time = 531.76 km / 3.4 hours

Let's calculate the speed of the second train (1.3x km/h): 1.3x = 1.3 * (Distance / Time) = 1.3 * (531.76 km / 3.4 hours)

Now, let's substitute the values and calculate the speeds of the trains.

Calculation Results

The speed of the first train (x) is approximately 156.4 km/h.

The speed of the second train (1.3x) is approximately 203.3 km/h.

Answer

The speed of the first train is approximately 156.4 km/h and the speed of the second train is approximately 203.3 km/h.

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