【Question 26】
Train A and Train B depart from stations $A$ and $B$ respectively at the same time, heading towards each other. The speed ratio of Train A to Train B is $3:2$. Station $C$ is located between stations $A$ and $B$. Train A and Train B arrive at station $C$ at 9:00 AM and 7:00 PM respectively. Find the time when Train A and Train B meet.
【Analysis and Solution】
Travel problem, meeting problem.
If car A stops at station C on the way, car B needs $19-9=10$ hours to meet car A; since the speed ratio of car A to car B is $3: 2$;
thus, the ratio of the combined speed of car A and car B to the speed of car B is $5: 2$; so when car A reaches station C on the way, car A and car B will meet in $10 \times 2 \div 5=4$ hours; the time when car A and car B meet is $13: 00$.