Two people, A and B, set off from A and B at the same time and walk towards each other. When they start, their speed ratio is 3:2. After they meet for the first time, A's speed increases by 20%, and B's speed increases. 30%. In this way, when A arrives at B, B is still 14 kilometers away from A, so how many kilometers is the distance between A and B?
甲、乙二人分别从A、B两地同时出发，相向而行，出发时他们的速度比是3：2，他们第一次相遇后，甲的速度提高了20%，乙的速度提高了30%，这样，当甲到达B地时，乙离A还有14千米，那么A、B两地间的距离是多少千米？
<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">120 / 100</gadget>
<output>6/5 = around 1.2</output>

<gadget id="calculator">3 * (6/5)</gadget>
<output>18/5 = around 3.6</output>

<gadget id="calculator">130 / 100</gadget>
<output>13/10 = around 1.3</output>

<gadget id="calculator">2 * (13/10)</gadget>
<output>13/5 = around 2.6</output>

<gadget id="calculator">(18/5) / (13/5)</gadget>
<output>18/13 = around 1.384615</output>

<gadget id="calculator">1 / (18/13)</gadget>
<output>13/18 = around 0.722222</output>

<gadget id="calculator">(2/5) * (13/18)</gadget>
<output>13/45 = around 0.288889</output>

<gadget id="calculator">(3/5) - (13/45)</gadget>
<output>14/45 = around 0.311111</output>

<gadget id="calculator">14 / (14/45)</gadget>
<output>45</output>

<result>45</result>