Question

Из городов а и в,находящихся на расстоянии 275 км друг от друга,вышли одновременно в противоположных направлениях два поезда.Один из них шёл со скоростью 50 км/ч,другой со скоростью 75 км/ч.На каком расстоянии друг от друга будут эти поезда через 6 часов после начала движения?

Answer 1

1) 75 + 50 = 125 км/ч скорость удаления
2) 125 * 6 = 750 км пройдут за 6 часов
3) 750 + 275 = 1025 км будет между ними

Answer 2

1) 50*6=300 (км/ч) - пройдет первый поезд;
2) 75*6=450 (км/ч) - пройдет второй поезд;
3) 450+300=750 (км/ч) - расстояние поездов;
4) 750 - 275= 475 (км/ч) - расстояние поездов через 6 часов.

Answer 3

Problem Analysis

We have two trains that start simultaneously from two different cities, traveling in opposite directions. The first train has a speed of 50 km/h, and the second train has a speed of 75 km/h. We need to determine the distance between the two trains after 6 hours.

Solution

To find the distance between the two trains after 6 hours, we need to calculate the total distance traveled by each train.

The distance traveled by the first train can be calculated using the formula: distance = speed × time. Substituting the values, we get: distance1 = 50 km/h × 6 h.

Similarly, the distance traveled by the second train can be calculated as: distance2 = 75 km/h × 6 h.

To find the total distance between the two trains, we need to add the distances traveled by each train and take the absolute value of the difference, as they are traveling in opposite directions. The formula for the total distance is: total_distance = |distance1 - distance2|.

Let's calculate the distances and find the total distance.

Calculation

The distance traveled by the first train: distance1 = 50 km/h × 6 h = 300 km.

The distance traveled by the second train: distance2 = 75 km/h × 6 h = 450 km.

The total distance between the two trains: total_distance = |300 km - 450 km| = 150 km.

Answer

The two trains will be 150 km apart from each other after 6 hours of travel.

Explanation

When two objects move in opposite directions, the distance between them is equal to the absolute difference of their individual distances traveled. In this case, the first train travels 300 km, and the second train travels 450 km. The difference between these distances is 150 km, which represents the total distance between the two trains.