The siblings were about to go east along the road from the park gate to the museum, and they had to go west along the road from the park gate to go home. They discussed whether to go home to pick up the car first, and then ride to the museum, or go directly to the museum from the park gate. For the museum, my sister did the math: if the distance from the park to the museum is more than 2 kilometers, it will save time to go home and pick up the car; if the distance between the park and the museum is less than 2 kilometers, then go directly to save time. It is known that the speed ratio of cycling to walking is 4:1, so how many kilometers is the distance from the park gate to their home?
姐弟俩正要从公园门口沿马路向东去博物馆，而他们回家则要从公园门口沿马路向西行，他们商量是先回家取车，再骑到博物馆，还是直接从公园门口走到博物馆，姐姐算了一下：如果从公园到博物馆距离超过2千米，则回家取车比较省时间；如果公园和博物馆的距离不足2千米，那么直接走过去省时间．已知骑车与步行的速度比为4：1，那么公园门口到他们家的距离是多少千米？
<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>