It is known that both A and B drive from point A to point B at the same time at a speed of 60 km/h, and arrive at point C on the way after driving for 30 minutes. At this time, A found that he forgot to take something, so he returned to point A at a speed of 100 km/h, took 6 minutes to pick up the things, and then drove to point B at a speed of 75 km/h; , Change to B at a speed of 50 km/h. As a result, A and B arrive at B at the same time. So how many kilometers is the distance between A and B?
已知甲、乙两人均以60千米/时的速度同时由A地出发开车往B地，行车30分到达途中C地．这时，甲发现自己忘拿东西，所以以100千米/时的速度返回A地，取东西用了6分钟，再以75千米/时的速度开往B地；而乙到达C地后，改以50千米/时的速度开往B地．结果甲、乙两人同时到达B地．那么A、B两地之间的路程是多少千米？
<gadget id="calculator">0.5 / 100</gadget>
<output>0.005</output>

<gadget id="calculator">60 * 0.005</gadget>
<output>0.3</output>

<gadget id="calculator">0.5 / 50</gadget>
<output>0.01</output>

<gadget id="calculator">60 * 0.01</gadget>
<output>0.6</output>

<gadget id="calculator">0.3 + 0.1 + 0.6</gadget>
<output>1</output>

<gadget id="calculator">1 / 50</gadget>
<output>1/50 = around 0.02</output>

<gadget id="calculator">1 / 75</gadget>
<output>1/75 = around 0.013333</output>

<gadget id="calculator">(1/50) - (1/75)</gadget>
<output>1/150 = around 0.006667</output>

<gadget id="calculator">1 / (1/150)</gadget>
<output>150</output>

<result>150</result>