When Xiao Ming goes from home to school, he walks for the first half of the distance and takes a car for the second half of the distance; when he returns home from school, he takes the car for the first (1/3) time and walks for the last (2/3) time. As a result, it takes 2 hours longer to go to school than to go home. It is known that Xiao Ming walks 5 kilometers per hour and travels 15 kilometers per hour by car. So, how many kilometers is Xiao Ming's distance from home to school?
小明从家到学校时，前一半路程步行，后一半路程乘车；他从学校回家时，前(1/3)时间乘车，后(2/3)时间步行．结果去学校的时间比回家所用的时间多2小时．已知小明步行每小时行5千米，乘车每小时行15千米．那么，小明从家到学校的路程是多少千米．
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">(1/2) / 5</gadget>
<output>1/10 = around 0.1</output>

<gadget id="calculator">(1/2) / 15</gadget>
<output>1/30 = around 0.033333</output>

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

<gadget id="calculator">5 * (2/3)</gadget>
<output>10/3 = around 3.333333</output>

<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">15 * (1/3)</gadget>
<output>5</output>

<gadget id="calculator">(10/3) + 5</gadget>
<output>25/3 = around 8.333333</output>

<gadget id="calculator">1 / (25/3)</gadget>
<output>3/25 = around 0.12</output>

<gadget id="calculator">(1/30) - (3/25)</gadget>
<output>-13/150 = around -0.086667</output>

<gadget id="calculator">(1/10) + (-13/150)</gadget>
<output>1/75 = around 0.013333</output>

<gadget id="calculator">2 / (1/75)</gadget>
<output>150</output>

<result>150</result>