Xiaoyu and Xiaoman lived at the foot of a mountain on both sides respectively. One day, Xiaoyu left home at 9:00 am to visit Xiaoman's house. Xiaoyu came home after playing at Xiaoman's house for two and a half hours. It was 14:00 when she got home. If Xiaoyu goes up the mountain and walks 2 miles per hour, and downhill walks 3 miles per hour, how long is the mountain road between Xiaoyu's house and Xiaoman's house?
小羽和小曼分别住在一座山两侧的山脚下．一天，小羽在上午9：00从家里出发到小曼家做客．小羽在小曼家玩了两个半小时后回家，到家时是下午14：00．若小羽上山每小时走2里地，下山每小时走3里地，则小羽家和小曼家之间的山路长多少里．
<gadget id="calculator">14 - 9 - 2.5</gadget>
<output>2.5</output>

<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

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

<gadget id="calculator">(1/2) + (1/3)</gadget>
<output>5/6 = around 0.833333</output>

<gadget id="calculator">2.5 / (5/6)</gadget>
<output>3</output>

<result>3</result>