Two people, A and B, start from A and B at the same time and walk towards each other, and run back and forth between A and B. A runs 5 meters per second, and B runs 7 meters per second. If the distance between their fourth head-on encounter and the first encounter in the same direction is 150 meters, what is the distance between A and B in meters?
甲、乙二人分别从A、B两地同时出发相向而行，在A、B两地间往返跑步，甲每秒跑5米，乙每秒跑7米．如果他们的第四次迎面相遇地点与第一次同向相遇地点的距离是150米，求A、B两地间的距离为多少米？
<gadget id="calculator">11 / 12</gadget>
<output>11/12 = around 0.916667</output>

<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">(11/12) - (1/2)</gadget>
<output>5/12 = around 0.416667</output>

<gadget id="calculator">150 / (5/12)</gadget>
<output>360</output>

<result>360</result>