
Со станции А и В одновременно навстречу друг другу вышли 2 поезда. Они встретились через 3 1/2ч .
Поезд со станции А проехал 245 7/10 км,а поезд со станции В проехал 296 1/10 км.На сколько киломметров приблизились эти два поезда друг к другу через час?

Ответы на вопрос




Problem Analysis
We have two trains, one starting from station A and the other starting from station B, moving towards each other. The trains meet after 3 1/2 hours. The train from station A travels 245 7/10 km, and the train from station B travels 296 1/10 km. We need to find out how close the two trains are to each other after one hour.Solution
To find out how close the two trains are to each other after one hour, we can calculate the total distance covered by both trains in one hour and subtract it from the total distance between the two stations.Let's calculate the distance covered by each train in one hour:
- The train from station A covers 245 7/10 km in 3 1/2 hours. To find the distance covered in one hour, we can divide the total distance by the total time: 245 7/10 km ÷ 3 1/2 hours. - The train from station B covers 296 1/10 km in 3 1/2 hours. To find the distance covered in one hour, we can divide the total distance by the total time: 296 1/10 km ÷ 3 1/2 hours.
Let's calculate these distances:
- Distance covered by the train from station A in one hour: 245 7/10 km ÷ 3 1/2 hours. - Distance covered by the train from station B in one hour: 296 1/10 km ÷ 3 1/2 hours.
Now, let's calculate the total distance covered by both trains in one hour:
- Total distance covered by both trains in one hour: distance covered by train A in one hour + distance covered by train B in one hour.
Finally, we can subtract the total distance covered by both trains in one hour from the total distance between the two stations to find out how close the two trains are to each other after one hour.
Let's perform the calculations:
- Distance covered by the train from station A in one hour: 245 7/10 km ÷ 3 1/2 hours. - Distance covered by the train from station B in one hour: 296 1/10 km ÷ 3 1/2 hours. - Total distance covered by both trains in one hour: distance covered by train A in one hour + distance covered by train B in one hour. - Distance between the two trains after one hour: total distance between the two stations - total distance covered by both trains in one hour.
Calculation
Let's perform the calculations:- Distance covered by the train from station A in one hour: - 245 7/10 km ÷ 3 1/2 hours = 245 7/10 km ÷ 7/2 hours = 245 7/10 km × 2/7 hours = 70 km. - Distance covered by the train from station B in one hour: - 296 1/10 km ÷ 3 1/2 hours = 296 1/10 km ÷ 7/2 hours = 296 1/10 km × 2/7 hours = 80 km. - Total distance covered by both trains in one hour: - 70 km + 80 km = 150 km. - Distance between the two trains after one hour: - Total distance between the two stations - total distance covered by both trains in one hour.
Unfortunately, the search results did not provide the necessary information to determine the total distance between the two stations. Could you please provide the total distance between station A and station B?


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