Question

Два поезда едут в одном направлении. В переди едет поезд со скоростью 80км/ч а сзади 60км/ч. Сейчас междц ними 300км . на каком расстоянии друг от друга они будут через 3 часа. Чему равна скорость удаления поездов? На сколько км они удалятся друг от друга за 3 часа? На каком расстоянии друг от друга они будут через 3 часа?

Answer 1

80 - 60 = 20 ( км/час ) скорость удаления поездов
3 • 20 = 60 ( км ) расстояние между поездами через 3 часа
300 - 60 = 240 ( км )
Ответ 240 км ; 20 км/час ; 60 км

Answer 2

Problem Analysis

We have two trains traveling in the same direction. The first train is traveling at a speed of 80 km/h, while the second train is traveling at a speed of 60 km/h. The initial distance between the two trains is 300 km. We need to determine the distance between the trains after 3 hours, as well as the speed at which they are moving away from each other.

Distance Calculation

To calculate the distance between the trains after 3 hours, we can use the formula: distance = speed × time.

For the first train, the distance traveled after 3 hours is: distance1 = 80 km/h × 3 h.

For the second train, the distance traveled after 3 hours is: distance2 = 60 km/h × 3 h.

The total distance between the trains after 3 hours is the initial distance minus the sum of the distances traveled by each train: total_distance = initial_distance - (distance1 + distance2).

Speed of Separation Calculation

To calculate the speed at which the trains are moving away from each other, we can subtract the speed of the second train from the speed of the first train: speed_of_separation = speed1 - speed2.

Calculation Results

Let's calculate the values using the given information:

- Distance traveled by the first train after 3 hours: distance1 = 80 km/h × 3 h = 240 km. - Distance traveled by the second train after 3 hours: distance2 = 60 km/h × 3 h = 180 km. - Total distance between the trains after 3 hours: total_distance = 300 km - (240 km + 180 km) = -120 km.

Since the total distance is negative, it means that the second train has caught up to and passed the first train. The trains are no longer separated by a positive distance.

- Speed at which the trains are moving away from each other: speed_of_separation = 80 km/h - 60 km/h = 20 km/h.

Therefore, after 3 hours, the trains will be -120 km apart, and they are moving away from each other at a speed of 20 km/h.

Conclusion

After 3 hours, the trains will be -120 km apart, and they are moving away from each other at a speed of 20 km/h.