A and B start from city a, C start from city B, a drive 40km per hour, B drive 45km per hour, C drive 50km per hour. If three cars are facing each other at the same time, C can only meet a car 10 minutes after meeting B. find the distance between two cities. (use one yuan linear equation solution)

A and B start from city a, C start from city B, a drive 40km per hour, B drive 45km per hour, C drive 50km per hour. If three cars are facing each other at the same time, C can only meet a car 10 minutes after meeting B. find the distance between two cities. (use one yuan linear equation solution)


If the distance is set to x, then there are:
-x/(45+50)+x/(40+50)=10/60;
5x=95*15;
x=95*3=285;
So the distance is 285 kilometers



A and B start from a and go to B. A runs 50km. B starts from a, 60km / h, B 80km / h. B overtakes a in a few hours
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Using equation


50 / (80-60) = 5 / 2 hours
Let car B catch up with car a in X hours
(80-60)x=50
20x=50
x=5/2



A and B vehicles run from AB to ab at the same time. A vehicle runs 60km per hour to meet B vehicle at 2 / 5 of the whole journey,
It takes 8 hours for B to complete the whole journey. How many km is the distance between AB and B


When meeting, the distance ratio is 2 / 5: (1-2 / 5) = 2:3
So the speed ratio is 2:3
The speed of car B is 60 * 3 / 2 = 90 (km) per hour
Distance 90 * 8 = 720 (km)



The distance between station a and station B is 480km. A slow train departs from station a, traveling 80km per hour, and an express train departs from station B, traveling 120km per hour
How many hours will it take for the two cars to leave at the same time? There are two answers, one is 3 and the other is 27. I want to complete the process
Formula equation


In the first case, the fast train is ahead and the slow train is behind. The distance per hour increases by 40. At this time, it only needs to increase by 120, so it is 3 hours,
In the second case, the slow train is ahead and the fast train is behind. The fast train should catch up with the slow train first and then run 600 meters more, so it takes 27 hours to run 1080 meters more