Students A and B start from home at the same time and walk toward each other. Student A walks 52m per minute, student B walks 70m per minute, and they meet at point A on the way. If A starts 6 minutes earlier, and the speed remains the same, and student B changes to walk 98m per minute, then the two still meet at A. Question: How many meters are there between the homes of student A and student B?
学生甲和乙同时从家里出发相向而行．学生甲每分钟走52m，学生乙每分钟走70m，两人在途中A处相遇．若甲提前6分钟出发，且速度不变，学生乙每分钟改为走98m，则两人仍在A处相遇．问：学生甲和乙两人的家相距多少米？
<gadget id="calculator">7 - 5</gadget>
<output>2</output>

<gadget id="calculator">6 / 2</gadget>
<output>3</output>

<gadget id="calculator">52 + 70</gadget>
<output>122</output>

<gadget id="calculator">3 * 7 * 122</gadget>
<output>2_562</output>

<result>2_562</result>