В 7 часов вышел со станции поезд со скоростью 54 км ч 8:10 с той же станции в том де направлении
вышел второй поезд со скоростью 57 км ч Какое расстояние будет между этими поездами в 10:05Ответы на вопрос
Ответ: 57,25 км
Пошаговое объяснение:
54* 1 1/6 часа = 63 км - пройдёт 1й поезд
57-54= 3 км/ч - скорость сближения
10:05 - 8:10 = 1:55 мин
1 55/60 * 3 = 23/12 * 3 = 23/4 = 5, 75 км - на столько сблизятся
63 - 5,75 = 57,25 км
Calculation of Distance between Trains
To calculate the distance between the two trains, we need to determine the time elapsed between their departures and the time at which we want to find the distance. Let's break down the given information:
- The first train left the station at 7:00 with a speed of 54 km/h. - The second train left the same station in the same direction at 8:10 with a speed of 57 km/h. - We want to find the distance between the two trains at 10:05.
To calculate the distance between the two trains, we can use the formula:
Distance = Speed × Time
Let's calculate the time elapsed between the departure of the first train and the time we want to find the distance:
- The first train left at 7:00, and we want to find the distance at 10:05, which is a time difference of 3 hours and 5 minutes.
Now, let's calculate the distance traveled by each train:
- The first train traveled for 3 hours and 5 minutes at a speed of 54 km/h. - The second train traveled for 1 hour and 55 minutes (from 8:10 to 10:05) at a speed of 57 km/h.
Using the formula mentioned earlier, we can calculate the distance traveled by each train:
Distance of the first train = Speed of the first train × Time of travel of the first train
Distance of the second train = Speed of the second train × Time of travel of the second train
Let's calculate the distances:
- Distance of the first train = 54 km/h × 3.0833 hours (3 hours and 5 minutes) = 166.5 km - Distance of the second train = 57 km/h × 1.9167 hours (1 hour and 55 minutes) = 109.5 km
Therefore, the distance between the two trains at 10:05 is the difference between the distances traveled by each train:
Distance between the two trains = Distance of the first train - Distance of the second train
Distance between the two trains = 166.5 km - 109.5 km = 57 km
So, the distance between the two trains at 10:05 is 57 kilometers.
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