Xiao Gang and Xiao Ming were going east along the road from the park gate to the library. They had to go west along the road from the park gate to go back to school. They discussed whether to go back to school to pick up the bike and then ride east to the library to save time, or go directly to the library. Walk east to the library at the gate of the park to save time. Xiaogang calculates: It is known that the speed ratio of cycling to walking is 4:1. When the distance from the park gate to the library exceeds 2 kilometers, it is cost-effective to go back to school to pick up the car. So, how many meters is the distance from the gate of the park to their school?
小刚和小明正要从公园门口沿马路东去图书馆，他们回学校要从公园门口沿马路向西行，他们商量是先回学校取车再骑车向东去图书馆省时间，还是直接从公园门口步行向东去图书馆省时间．小刚算一下：已知骑车与步行的速度比是4：1，从公园门口到达图书馆距离超过2千米时，回学校取车才合算．那么，公园门口到他们学校的距离有多少米？
<gadget id="calculator">2 * 1_000</gadget>
<output>2_000</output>

<gadget id="calculator">1_000 / 4</gadget>
<output>250</output>

<gadget id="calculator">2 * 250</gadget>
<output>500</output>

<gadget id="calculator">2_000 - 500</gadget>
<output>1_500</output>

<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>

<gadget id="calculator">(1/4) + 1</gadget>
<output>5/4 = around 1.25</output>

<gadget id="calculator">1_500 / (5/4)</gadget>
<output>1_200</output>

<result>1_200</result>