Cars A and B are traveling towards each other from stations A and B. Car B first drives from station B to station A. When it reaches a distance of 70 kilometers from station B, car A starts from station A and goes to station B. At this time, the ratio of the distance between A and B to the distance traveled by A is 3:2. It is known that the speed of A is faster than that of B (1/4), how many kilometers is the distance between A and B? ．
甲乙两车分别从A、B两站相向而行，乙车先从B站开往A站，当走到距离B站70千米的地方时，甲车从A站出发开往B站，相遇时，甲车距B站的路程与甲车已行的路程之比是3：2，已知甲车速度比乙车速度快(1/4)，求AB两站间的路程是多少千米．
<gadget id="calculator">3 + 2</gadget>
<output>5</output>

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

<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>

<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>

<gadget id="calculator">1 + (1/4)</gadget>
<output>5/4 = around 1.25</output>

<gadget id="calculator">(5/4) / 1</gadget>
<output>5/4 = around 1.25</output>

<gadget id="calculator">1 / (5/4)</gadget>
<output>4/5 = around 0.8</output>

<gadget id="calculator">(2/5) * (4/5)</gadget>
<output>8/25 = around 0.32</output>

<gadget id="calculator">(3/5) - (8/25)</gadget>
<output>7/25 = around 0.28</output>

<gadget id="calculator">70 / (7/25)</gadget>
<output>250</output>

<result>250</result>