Question

От двух станций, расстояние между которыми 34км, одновременно 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

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Answer 2

1) 82+8=90 км/ч скорость другого поезда
2) 82*3=246 км проехал один поезд
3) 90*3=270 км проехал другой поезд
4) 270+248+34=550 км будет расстояние между поездами через 3 часа

Answer 3

Problem Analysis

We have two trains traveling in opposite directions from two stations that are 34 km apart. 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. We need to calculate the distance between the trains after 3 hours.

Calculation

To calculate the distance between the trains after 3 hours, we need to find the total distance covered by both trains in that time.

Let's start by calculating the distance covered by the first train in 3 hours. We can use the formula: distance = speed × time.

The speed of the first train is 82 km/h, and the time is 3 hours. Therefore, the distance covered by the first train is 82 km/h × 3 hours = 246 km.

Now let's calculate the distance covered by the second train in 3 hours. The speed of the second train is 8 km/h faster than the first train, so its speed is 82 km/h + 8 km/h = 90 km/h. Using the same formula, the distance covered by the second train is 90 km/h × 3 hours = 270 km.

To find the distance between the trains after 3 hours, we subtract the distance covered by the first train from the total distance between the stations. The total distance between the stations is 34 km, so the distance between the trains after 3 hours is 34 km - (246 km + 270 km) = -482 km.

Answer

The distance between the trains after 3 hours is -482 km.

Please note that a negative distance indicates that the trains have passed each other and are now on opposite sides of the starting point.