The road repair team finished repairing a section of road in three weeks, and repaired the full length (1/6) in the first week. The ratio of road repair length between the second and third weeks was 2:3. It is known that the third week repaired 400 meters more than the second week. How long is this road in meters?
修路队三周修完一段公路，第一周修了全长的(1/6)，第二、第三周修路长度比为2：3，已知第三周比第二周多修400米，这段路全长是多少米？
<gadget id="calculator">2 + 3</gadget>
<output>5</output>

<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>

<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>

<gadget id="calculator">(3/5) - (2/5)</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">400 / (1/5)</gadget>
<output>2_000</output>

<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>

<gadget id="calculator">1 - (1/6)</gadget>
<output>5/6 = around 0.833333</output>

<gadget id="calculator">2_000 / (5/6)</gadget>
<output>2_400</output>

<result>2_400</result>