Xiaoming and Xiaogang set out at the same place at the same time and run forward together along the 400 meter circular track. It takes three minutes for Xiaoming to run a lap and four minutes for Xiaogang to run a lap. How many minutes later will they meet at the same place?

Xiaoming and Xiaogang set out at the same place at the same time and run forward together along the 400 meter circular track. It takes three minutes for Xiaoming to run a lap and four minutes for Xiaogang to run a lap. How many minutes later will they meet at the same place?


We can regard "400m" as "1", Xiaoming's speed is 1 / 3, Xiaogang's speed is 1 / 4
After X minutes, they meet
1/3x-1/4x=1
x=12
A: 12 minutes later, they met



Xiao Ming and Xiao Gang often practice running on the 400 meter long circular track. Xiao Ming's speed is 8 meters per second, and Xiao Gang's speed is 7 meters per second, if they are facing each other at the same time
How many seconds did it take for the first time


Suppose we meet after x seconds
8x+7x=400
The solution is: x = 26.7



(1) if two people run from the same place to the opposite direction at the same time, how many minutes later will they meet for the first time? (2) If two people start from the same place in the same direction at the same time, how many minutes later will they meet for the first time?


(1) Suppose two people run from the same place to the opposite direction at the same time, and they meet for the first time after X minutes. According to the meaning of the question, we get: 200X + 160x = 400, and the solution is: x = 109. Answer: suppose two people run from the same place to the opposite direction at the same time, and they meet for the first time after 109 minutes; (2) suppose two people start from the same place and run in the same direction at the same time, and they meet for the first time after y minutes A: they start from the same place and run in the same direction at the same time. Ten minutes later, they meet for the first time