Two people, A and B, start from A and B at the same time, and walk back and forth between A and B; when A starts, C also starts from A to B. When A and B met face to face at C for the first time, C still had 100 meters to reach C; when C reached C, A walked forward 108 meters; meet face to face. So how many meters is the distance between A and B?
甲乙两人分别从A、B两地同时出发，在A、B往返行走；甲出发的同时，丙也从A出发去B．当甲乙两人第一次迎面相遇在C地时，丙还有100米才到C；当丙走到C时，甲又往前走了108米；当丙到B时，甲乙正好第二次迎面相遇．那么A、B两地间的路程是多少米？
<gadget id="calculator">26 / 75</gadget>
<output>26/75 = around 0.346667</output>

<gadget id="calculator">25 / 75</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">(26/75) - (1/3)</gadget>
<output>1/75 = around 0.013333</output>

<gadget id="calculator">100 / (1/75)</gadget>
<output>7_500</output>

<result>7_500</result>