Xiao Ming and Xiao Liang are in the same class. If Xiao Ming leaves for school at the same time, Xiao Ming’s speed is 50 meters per minute, and Xiao Liang’s speed is 60 meters per minute. They can arrive at school at the same time; Liang's speed is reduced to 51 meters per minute, and they can also arrive at the school at the same time. How far is Xiao Ming's home from the school?
小明和小亮是同班同学，如果同时从各自家出发去学校，小明的速度为50米每分钟，小亮的速度为60米每分钟，他们能同时到学校；如果小明晚6分钟出发，小亮的速度减少为51米每分钟，他们也能同时到学校，请问小明家离学校多少米？
<gadget id="calculator">6 / 51</gadget>
<output>2/17 = around 0.117647</output>

<gadget id="calculator">5 / 50</gadget>
<output>1/10 = around 0.1</output>

<gadget id="calculator">(2/17) - (1/10)</gadget>
<output>3/170 = around 0.017647</output>

<gadget id="calculator">6 / (3/170)</gadget>
<output>340</output>

<gadget id="calculator">5 * 340</gadget>
<output>1_700</output>

<result>1_700</result>