Question

От 2 станций расстояние между которыми 34 км одновременно в противоположных направлениях отошли два поезда Один поезд шел со скоростью 82 км в час а другой со скоростью 8 км час больше Какое расстояние будет между поездами через 3 часа

Answer 1

610 км через 3 часа будет расстояние между поездами

Answer 2

Problem Analysis

We are given that two trains start simultaneously from two stations that are 34 km apart in opposite directions. One train is traveling at a speed of 82 km/h, while the other train is traveling at a speed 8 km/h faster. We need to find the distance between the trains after 3 hours.

Solution

To find the distance between the trains after 3 hours, we need to calculate the distance traveled by each train in that time.

Let's start by calculating the distance traveled by the first train. The formula to calculate distance is:

Distance = Speed × Time

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

Using the formula, we can calculate the distance traveled by the first train:

Distance1 = 82 km/h × 3 hours

Now, let's calculate the distance traveled by the second train. We know that the second train is traveling at a speed 8 km/h faster than the first train. So, the speed of the second train is:

Speed2 = Speed1 + 8 km/h

For the second train: - Speed2 = Speed1 + 8 km/h - Time = 3 hours

Using the formula, we can calculate the distance traveled by the second train:

Distance2 = (Speed1 + 8 km/h) × 3 hours

Finally, to find the distance between the trains after 3 hours, we subtract the distance traveled by the second train from the distance traveled by the first train:

Distance between the trains = Distance1 - Distance2

Let's calculate the distances and find the final answer.

Calculation

Given: - Speed1 = 82 km/h - Time = 3 hours

Using the formulas mentioned above, we can calculate the distances:

Distance1 = 82 km/h × 3 hours

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

Now, let's substitute the values and calculate the distances:

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

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

Finally, let's find the distance between the trains:

Distance between the trains = Distance1 - Distance2 = 246 km - 90 km = 156 km

Answer

The distance between the two trains after 3 hours will be 156 km.

Note: The sources provided did not contain any relevant information for this specific problem. Therefore, the solution was derived using mathematical calculations.