Two trains, A and B, depart from stations A and B respectively and run toward each other. Train A leaves 15 minutes first. When they meet, train B travels 6 kilometers longer than train A. Given that the speed ratio of cars A and B is 2:3, it takes 1 hour and 30 minutes for car B to travel from station B to station A. What is the distance between stations A and B in kilometers?
甲、乙两列火车分别从A、B两站开出，相向而行，甲车先出发15分钟，相遇时，乙车比甲车多行6千米．已知甲、乙两车的速度比为2：3，乙车从B站行到A站需1小时30分钟．则A、B两站的距离为多少千米．
<gadget id="calculator">1 / 90</gadget>
<output>1/90 = around 0.011111</output>

<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>

<gadget id="calculator">90 / (2/3)</gadget>
<output>135</output>

<gadget id="calculator">15 / 135</gadget>
<output>1/9 = around 0.111111</output>

<gadget id="calculator">1 - (1/9)</gadget>
<output>8/9 = around 0.888889</output>

<gadget id="calculator">1 / 135</gadget>
<output>1/135 = around 0.007407</output>

<gadget id="calculator">(1/135) + (1/90)</gadget>
<output>1/54 = around 0.018519</output>

<gadget id="calculator">(8/9) / (1/54)</gadget>
<output>48</output>

<gadget id="calculator">(1/90) * 48</gadget>
<output>8/15 = around 0.533333</output>

<gadget id="calculator">48 + 15</gadget>
<output>63</output>

<gadget id="calculator">(1/135) * 63</gadget>
<output>7/15 = around 0.466667</output>

<gadget id="calculator">(8/15) - (7/15)</gadget>
<output>1/15 = around 0.066667</output>

<gadget id="calculator">6 / (1/15)</gadget>
<output>90</output>

<result>90</result>