When someone travels from home to work, ride a bicycle for (1/3) of the distance, and ride for (2/3) of the distance; Time to ride. As a result, it takes 0.5 hours longer to go to work than to go home. It is known that he travels 8 kilometers per hour by bicycle and 16 kilometers per hour by car. How many kilometers is the distance from home to work?
某人从家到单位时，(1/3)的路程骑车，(2/3)的路程乘车；从单位回家时，前(3/8)时间骑车，后(5/8)时间乘车．结果去单位的时间比回家所用时间多0.5小时已知他骑车每小时行8千米，乘车每小时行16千米，则此人从家到单位的距离是多少千米？
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">(1/3) / 8</gadget>
<output>1/24 = around 0.041667</output>

<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>

<gadget id="calculator">(2/3) / 16</gadget>
<output>1/24 = around 0.041667</output>

<gadget id="calculator">(1/24) + (1/24)</gadget>
<output>1/12 = around 0.083333</output>

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

<gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>

<gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>

<gadget id="calculator">(3/8) * 8</gadget>
<output>3</output>

<gadget id="calculator">5 / 8</gadget>
<output>5/8 = around 0.625</output>

<gadget id="calculator">(5/8) * 16</gadget>
<output>10</output>

<gadget id="calculator">3 + 10</gadget>
<output>13</output>

<gadget id="calculator">1 / 13</gadget>
<output>1/13 = around 0.076923</output>

<gadget id="calculator">(1/12) - (1/13)</gadget>
<output>1/156 = around 0.00641</output>

<gadget id="calculator">0.5 / (1/156)</gadget>
<output>78</output>

<result>78</result>