The charging standard of a certain taxi is: the starting price is 7 yuan (that is, the fare is 7 yuan if the driving distance does not exceed 3km), and after more than 3km, each additional 1km will be charged 2.4 yuan (less than 1km is counted as 1km). A person pays a total of 19 yuan for a taxi from A to B, what is the maximum distance traveled by this person from A to B?
某种出租车的收费标准是：起步价7元(即行驶距离不超过3km都需付7元车费)，超过3km以后，每增加1km，加收2.4元(不足1km按1km计)．某人乘这种出租车从甲地到乙地共支付车费19元，则此人从甲地到乙地经过的路程的最大值是多少
<gadget id="calculator">19 - 7</gadget>
<output>12</output>

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

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

<result>8</result>