Two people, A and B, are traveling in the same direction on the same road from places A and B that are 5 kilometers apart. A’s speed is 5 km/h, and B’s speed is 3 km/h. A is carrying a dog. When A chases B, the dog catches up with B first, then returns to meet A, then returns to catch up with B, and repeats in turn until A catches up with B. The known speed of the dog is 15 km/h. , what is the total distance traveled by the dog?
甲乙两人在同一道路上从相距5千米的A、B两地同向而行，甲的速度为5千米/小时，乙的速度为3千米/小时，甲带着一只狗，当甲追乙时，狗先追上乙，再返回遇上甲，再返回追上乙，依次反复，直至甲追上乙为止，已知狗的速度为15千米/小时，求此过程中，狗跑的总路程是多少？
<gadget id="calculator">5 - 3</gadget>
<output>2</output>

<gadget id="calculator">5 / 2</gadget>
<output>5/2 = around 2.5</output>

<gadget id="calculator">15 * (5/2)</gadget>
<output>75/2 = around 37.5</output>

<result>75/2 = around 37.5</result>