A distance is divided into three sections: uphill, flat road, and downhill. The ratio of each section is 2:3:3. The ratio of the time a person takes to walk each section is 3:2:1. It is known that he walks The speed of the flat road is 2.7km per hour. It took the person 6 hours to complete the journey. How long is the distance in kilometers?
一段路程，分成上坡、平路、下坡三段，各段路程之比依次是2：3：3，某人走各段路程所用时间之比依次是3：2：1，已知他走平路时的速度为每小时2.7km，此人走完全程用了6小时，这段路全程长多少千米？
<gadget id="calculator">3 + 2 + 1</gadget>
<output>6</output>

<gadget id="calculator">2 / 6</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">6 * (1/3)</gadget>
<output>2</output>

<gadget id="calculator">2 + 3 + 3</gadget>
<output>8</output>

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

<gadget id="calculator">(1/3) / (3/8)</gadget>
<output>8/9 = around 0.888889</output>

<gadget id="calculator">2.7 * 6 * (8/9)</gadget>
<output>14.4</output>

<result>14.4</result>