When Xiao Ming goes from home to school, he walks for the first half of the distance and rides for the second half of the distance; when he arrives home from school, he takes the car for the first 1/3 of the time and walks for the last 2/3 of the time. It is known that Xiao Ming walks at a speed of 5 kilometers per hour, and travels at a speed of 15 kilometers per hour. As a result, it takes 20 minutes longer to go to school than to go home. Know the distance in kilometers between Xiao Ming's home and school ?
小明从家到学校时，前一半路程步行，后一半路程乘车；他从学校到家时，前1/3时间乘车，后2/3时间步行．已知小明步行的速度为每小时5千米，乘车速度为每小时15千米，结果去学校的时间比回家的时间多20分钟，已知小明从家到学校的路程是多少千米？
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<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">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">(1/3) / (1/75)</gadget>
<output>25</output>

<result>25</result>