Xiaoming's, Xiaogang's and school are on the same line Xiao Ming's home, Xiao Gang's home and school are on the same line. After school, Xiao Ming and Xiao Gang start to walk home from school at the same time. It is known that each clock of Xiao Ming runs 80m, which is twice as much as Xiao Gang's, but it is less than 50m. After 10 minutes, two people get home at the same time. How many meters is the distance between Xiao Ming and Xiao Gang

Xiaoming's, Xiaogang's and school are on the same line Xiao Ming's home, Xiao Gang's home and school are on the same line. After school, Xiao Ming and Xiao Gang start to walk home from school at the same time. It is known that each clock of Xiao Ming runs 80m, which is twice as much as Xiao Gang's, but it is less than 50m. After 10 minutes, two people get home at the same time. How many meters is the distance between Xiao Ming and Xiao Gang


1. Xiaoming and Xiaogang's home are in the same direction
(1) Xiaoming walked for 10 minutes. He walked 800m
(2) Xiaogang walks 80 meters per minute plus 50. Xiaogang walks 90 meters per minute and 900 meters in 10 minutes
The distance between Xiaogang and Xiaoming's house is 100m
2. Xiaoming and Xiaogang are in the opposite direction
According to (1) (2)
The distance between Xiaoming and Xiaogang's house is 800m + 900m = 1700m



It takes Xiaoming and Xiaogang seven minutes to walk to school from home
It takes seven minutes for Xiaoming to walk to school from home. Xiaoqiang goes out four minutes earlier than Xiaoming and arrives at school at the same time. It is known that Xiaoming travels 80 meters per minute, while Xiaoqiang travels 10 meters more than Xiaoming. How many meters is Xiaoqiang's home from school?


It takes 7 + 4 = 11 minutes for Xiaoqiang to get to school
Xiaoqiang: 80 + 10 = 90 meters per minute
Xiaoqiang's home is 11 * 90 = 990m away from school



Xiao Ming and xiao gang went to the cinema 3 kilometers away from home. They were 15 minutes away from the start of the show. They planned to go at a speed of 10 kilometers. At this time, Xiao Ming's father planned to take them at a speed of 40 kilometers per hour, but only one person at a time. There were two plans to make them not late


The speed to get to the cinema is 3 km / 15 minutes, which is 12 km / hour, so Xiao Ming and Xiao Gang are late to walk alone
1. Xiaoming's father takes Xiaoming away. At the same time, Xiaogang sets out on his own. When he arrives, Xiaoming's father turns back and takes Xiaogang away at the speed of 40 km on the way, so he won't be late
2. It's the same with Xiaogang and Xiaoming



Xiao Ming runs 80 meters per minute, and Xiao Gang runs 50 meters per minute. Starting from the same place on a 400 meter circular track, they can meet each other at least in a few minutes


First, find out the time they need to run each lap
Xiao Ming: 400 △ 80 = 5 (minutes)
Xiao Gang: 400 △ 50 = 8 (minutes)
Then, find out their least common multiple
[5,8] = 5 × 8 = 40 (min)
A: it will be at least seven minutes before they meet again at the starting point