
Москвы и Ростова на Дону одновременно вышли на встречу друг другу два поезда .поезд из Москвы шел
со скоростью 65км час а поезд из Ростова на Дону со скоростью 7 км час меньше .на каком расстоянии друг тот друга будут поезда через 6 ч после начало движения если расстояние между Москвой и Ростовом на Дону 1230км?

Ответы на вопрос




Problem Analysis
We are given that two trains are traveling towards each other from Moscow and Rostov-on-Don. The train from Moscow is traveling at a speed of 65 km/h, while the train from Rostov-on-Don is traveling at a speed 7 km/h slower. We need to determine the distance between the two trains after 6 hours of travel, given that the distance between Moscow and Rostov-on-Don is 1230 km.Calculation
To find the distance between the two trains after 6 hours, we need to calculate the total distance traveled by both trains. Let's calculate the distance traveled by each train separately.The train from Moscow is traveling at a speed of 65 km/h. Therefore, the distance traveled by the train from Moscow after 6 hours is:
Distance traveled by the train from Moscow = Speed * Time = 65 km/h * 6 h = 390 km.
The train from Rostov-on-Don is traveling at a speed 7 km/h slower than the train from Moscow. Therefore, the speed of the train from Rostov-on-Don is:
Speed of the train from Rostov-on-Don = Speed of the train from Moscow - 7 km/h = 65 km/h - 7 km/h = 58 km/h.
Now, let's calculate the distance traveled by the train from Rostov-on-Don after 6 hours:
Distance traveled by the train from Rostov-on-Don = Speed * Time = 58 km/h * 6 h = 348 km.
To find the distance between the two trains after 6 hours, we subtract the distance traveled by the train from Rostov-on-Don from the total distance between Moscow and Rostov-on-Don:
Distance between the two trains after 6 hours = Total distance - Distance traveled by the train from Rostov-on-Don = 1230 km - 348 km = 882 km.
Therefore, the two trains will be 882 km apart after 6 hours of travel.
Answer
The two trains will be 882 km apart after 6 hours of travel.

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