讲解试题---**Document Title:** 行程魔法课堂 1-相遇与追及 (Journey Magic Class 1 - Meeting and Chasing)
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**Question 1:**
**Question Stem:**
两辆汽车同时从相距 335 千米的两地相向开出，甲车每小时行驶 35 千米，乙车每小时行驶 32 千米，经过多长时间，甲、乙两车相遇？相遇时，两车各行驶了多少千米？
**Relevant Textual Information:**
* Initial distance between the two places: 335 千米
* Car A's speed: 35 千米/小时
* Car B's speed: 32 千米/小时
* Movement direction: 相向开出 (towards each other)
* Questions asked:
* 经过多长时间，甲、乙两车相遇？ (After how long will car A and car B meet?)
* 相遇时，两车各行驶了多少千米？ (When they meet, how many kilometers did each car travel?)
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**Question 2:**
**Question Stem:**
甲、乙两辆汽车从相距 150 千米的 A、B 两地同时出发，同向而行。乙车在前，甲车在后，行驶 10 小时后甲车追上乙车。乙车每小时行驶 45 千米，甲车每小时行驶多少千米？
**Relevant Textual Information:**
* Initial distance between A and B: 150 千米
* Departure: 同时出发 (simultaneously)
* Movement direction: 同向而行 (in the same direction)
* Relative position: 乙车在前，甲车在后 (Car B in front, Car A behind)
* Time taken for Car A to catch up with Car B: 10 小时
* Car B's speed: 45 千米/小时
* Question asked: 甲车每小时行驶多少千米？ (What is Car A's speed per hour?)
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**Question 3:**
**Question Stem:**
一辆客车和一辆货车分别从相距 1200 千米的甲、乙两城出发。若两车同时出发，相向而行，则 10 小时后两车可以相遇。若两车同时出发，同向而行，则 30 小时后客车可以从后面追上货车。客车和货车的速度分别是多少？
**Relevant Textual Information:**
* Initial distance between city 甲 and city 乙: 1200 千米
* Scenario 1 (Meeting):
* Departure: 同时出发 (simultaneously)
* Movement direction: 相向而行 (towards each other)
* Meeting time: 10 小时
* Scenario 2 (Chasing):
* Departure: 同时出发 (simultaneously)
* Movement direction: 同向而行 (in the same direction)
* Chasing car: 客车 (passenger car) from behind
* Chased car: 货车 (freight car)
* Chasing time: 30 小时
* Question asked: 客车和货车的速度分别是多少？ (What are the speeds of the passenger car and the freight car, respectively?)
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**Question 4:**
**Question Stem:**
甲、乙两车分别从 A、B 两地同时出发，相向而行，在距离两地中点 60 千米处相遇。已知甲车的速度为 80 千米/时，乙车的速度为 60 千米/时，求 A、B 两地的距离。
**Relevant Textual Information:**
* Departure: 甲 from A, 乙 from B, 同时出发 (simultaneously)
* Movement direction: 相向而行 (towards each other)
* Meeting point: 距离两地中点 60 千米处 (60 km from the midpoint of A and B)
* Car A's speed: 80 千米/时
* Car B's speed: 60 千米/时
* Question asked: 求 A、B 两地的距离。 (Find the distance between A and B.)