A, B, and C are walking toward each other from two places AB. A and B start from A at the same time, and C starts from B at the same time. When A and C meet, B is 30 meters away from A. When B and C meet, A is exactly Arrive at B, when C arrives at A, B is 75 meters away from B, how far is the distance between A and B?
甲、乙、丙三人从AB两地相向而行，甲乙同时从A地出发，丙同时从B地出发，甲、丙相遇时，乙离A地30米，乙、丙相遇时，甲正好到B地，丙到A地时，乙离B地75米，求AB两地相距多远？
<result>150</result>