The charging standard of a certain taxi is: the starting price is 7 yuan (even if the driving distance does not exceed 3 kilometers, you still need to pay 7 yuan), and after more than 3 kilometers, you will be charged 2.4 yuan for each additional kilometer (less than 1,000 kilometers). Meters are calculated as 1 kilometer). Someone takes this kind of taxi from A to B and pays a total of 19 yuan. What is the maximum distance between A and B in kilometers?
某出租车的收费标准是：起步价7元(即使行驶距离不超过3千米仍需付7元车费)，超过3千米后，每增加1千米，加收2.4元(不足1千米按1千米计)．某人乘这种出租车从甲地到乙地共付19元．甲乙两地的最大路程为多少千米？
<gadget id="calculator">19 - 7</gadget>
<output>12</output>

<gadget id="calculator">12 / 2.4</gadget>
<output>5</output>

<gadget id="calculator">3 + 5</gadget>
<output>8</output>

<result>8</result>