A and B start climbing from the foot of the mountain at the same time, and descend immediately after reaching the top of the mountain. Their descending speed is 1.5 times their respective ascending speed. Moreover, A is faster than B. When A reaches the top of the mountain, B is 180 meters away from the top of the mountain. When B reaches the top of the mountain, A happens to be halfway down the mountain. So how many meters is it from the foot of the mountain to the top of the mountain?
甲、乙两人同时从山脚开始爬山，到达山顶后就立即下山，他们两人的下山的速度是各自上山速度的1.5倍．而且甲比乙速度快，甲到达山顶时，乙离山顶180米，当乙到达山顶时，甲恰好下到半山腰，那么山脚到山顶多少米？
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">(1/2) / 1.5</gadget>
<output>0.333333</output>

<gadget id="calculator">1 + 0.333333</gadget>
<output>1.333333</output>

<gadget id="calculator">1 / 1.333333</gadget>
<output>0.75</output>

<gadget id="calculator">1 - 0.75</gadget>
<output>0.25</output>

<gadget id="calculator">180 / 0.25</gadget>
<output>720</output>

<result>720</result>