Cars A and B start from A and B at the same time and drive towards each other. A travels 100 meters per minute, and B travels 60 meters per minute. After starting for a while, the two meet at C. They stop at a certain place on the way for 8 minutes, and the two will meet at D, and the distance between the midpoint and CD is equal. How far is the distance between A and B?
甲、乙两车分别从A、B两地同时出发相向而行，甲每分钟行100米，乙每分钟行60米，出发一段时间后，两人在C处相遇，如果甲出发后在在途中某地停留了8分钟，两人将在D处相遇，且中点距CD两地的距离相等．AB两地相距多少米？
<gadget id="calculator">5 + 3</gadget>
<output>8</output>

<gadget id="calculator">5 / 8</gadget>
<output>5/8 = around 0.625</output>

<gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>

<gadget id="calculator">100 / 60</gadget>
<output>5/3 = around 1.666667</output>

<gadget id="calculator">1 / (5/3)</gadget>
<output>3/5 = around 0.6</output>

<gadget id="calculator">(3/8) * (3/5)</gadget>
<output>9/40 = around 0.225</output>

<gadget id="calculator">(5/8) - (9/40)</gadget>
<output>2/5 = around 0.4</output>

<gadget id="calculator">8 / (2/5)</gadget>
<output>20</output>

<gadget id="calculator">60 * 20</gadget>
<output>1_200</output>

<result>1_200</result>