From school to home, the elder brother needs to walk for 16 minutes, and the younger sister needs to walk for 24 minutes. If the younger sister leaves the school 2 minutes later, the older brother starts from home, and when the siblings meet, the older brother walks 120 meters longer than the younger sister, what is the distance from the school to the home in meters?
从学校到家，哥哥要走16分钟，妹妹要走24分钟．如果妹妹从学校出发2分钟后，哥哥从家出发，兄妹相遇时哥哥比妹妹多走120米，那么学校离家的距离是多少米．
<gadget id="calculator">1 / 16</gadget>
<output>1/16 = around 0.0625</output>

<gadget id="calculator">1 / 24</gadget>
<output>1/24 = around 0.041667</output>

<gadget id="calculator">(1/24) * 2</gadget>
<output>1/12 = around 0.083333</output>

<gadget id="calculator">1 - (1/12)</gadget>
<output>11/12 = around 0.916667</output>

<gadget id="calculator">(1/16) + (1/24)</gadget>
<output>5/48 = around 0.104167</output>

<gadget id="calculator">(11/12) / (5/48)</gadget>
<output>44/5 = around 8.8</output>

<gadget id="calculator">(1/16) * (44/5)</gadget>
<output>11/20 = around 0.55</output>

<gadget id="calculator">(44/5) + 2</gadget>
<output>54/5 = around 10.8</output>

<gadget id="calculator">(1/24) * (54/5)</gadget>
<output>9/20 = around 0.45</output>

<gadget id="calculator">(11/20) - (9/20)</gadget>
<output>1/10 = around 0.1</output>

<gadget id="calculator">120 / (1/10)</gadget>
<output>1_200</output>

<result>1_200</result>