Xiao Ming and Xiao Hua walk toward each other from places A and B, which are 12 kilometers apart. Xiao Ming travels (1/3) of the whole journey every hour, and Xiao Hua travels 25% of the whole journey every hour. Xiao Ming takes a puppy between him and Xiao Hua. Run back and forth between them, and turn back immediately whenever they meet one party, until A and B meet, the puppy travels 14 kilometers per hour. If the time for the puppy to turn around is negligible, how many kilometers has it traveled in total?
小明和小华从相距12千米的甲乙两地相向而行，小明每小时行全程的(1/3)，小华每小时行全程的25%，小明带着一条小狗在他和小华之间来回快跑，每当遇到一方时就立即回头，直到甲乙相遇为止，小狗每小时行14千米．如果小狗掉头的时间忽略不计，它一共走了多少千米？
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>

<gadget id="calculator">(1/3) + (1/4)</gadget>
<output>7/12 = around 0.583333</output>

<gadget id="calculator">1 / (7/12)</gadget>
<output>12/7 = around 1.714286</output>

<gadget id="calculator">14 * (12/7)</gadget>
<output>24</output>

<result>24</result>