Question

Од двух станций,расстояние между которыми 34км,одновремено в противоположных направлениях отошли два поезда.Один поезд шёл со скоростью 82км/ч,а другой-со скоростью на 8км/ч больше.Какое расстояние будет между поездами через 3ч?

Answer 1

1) 82*2+8=172 км/час скорость расхожденияя поездов
2) 172*3=516 км проедут поезда за 3 часа
3) 516+34=550 км будет расстояние между поездами

Answer 2

1)82+8=90км/час скорость второго поезда;
2)82+90=172км/час скорость удаления поездов друг от друга;
3)172*3+34=550км через три часа между ними;
Ответ:550км.

Answer 3

Problem Analysis

We are given two trains that start simultaneously from two different stations, and we need to find the distance between them after 3 hours. The first train is traveling at a speed of 82 km/h, while the second train is traveling at a speed 8 km/h faster than the first train.

Solution

To find the distance between the trains after 3 hours, we need to calculate the distance traveled by each train and then find the difference between their positions.

Let's calculate the distance traveled by each train after 3 hours.

The distance traveled by the first train can be calculated using the formula:

Distance = Speed × Time

For the first train: - Speed = 82 km/h - Time = 3 hours

Distance1 = 82 km/h × 3 hours

Similarly, the distance traveled by the second train can be calculated using the same formula:

For the second train: - Speed = 82 km/h + 8 km/h (since the second train is traveling 8 km/h faster) - Time = 3 hours

Distance2 = (82 km/h + 8 km/h) × 3 hours

Now, we can find the difference between the distances traveled by the two trains to get the distance between them after 3 hours.

Distance between the trains = Distance2 - Distance1

Let's calculate the values:

Distance1 = 82 km/h × 3 hours = 246 km

Distance2 = (82 km/h + 8 km/h) × 3 hours = 90 km/h × 3 hours = 270 km

Distance between the trains = Distance2 - Distance1 = 270 km - 246 km = 24 km

Therefore, the distance between the trains after 3 hours will be 24 km.