If a car drives from place A to place B, if the speed is increased by 20%, it can arrive earlier; if it travels 100 kilometers at the original speed, and the speed is increased by 30%, it happens to be able to arrive at the same time earlier. How many kilometers are the distance between the two places?
一辆汽车从甲地开往乙地，如果把车速提高20%，则可提前到达；如果以原速行驶100千米后，再将速度提高30%，恰巧也可以提前同样的时间到达，甲乙两地相距多少千米？
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">1 + (1/5)</gadget>
<output>6/5 = around 1.2</output>

<gadget id="calculator">1 / (6/5)</gadget>
<output>5/6 = around 0.833333</output>

<gadget id="calculator">1 - (5/6)</gadget>
<output>1/6 = around 0.166667</output>

<gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>

<gadget id="calculator">1 + (3/10)</gadget>
<output>13/10 = around 1.3</output>

<gadget id="calculator">1 / (13/10)</gadget>
<output>10/13 = around 0.769231</output>

<gadget id="calculator">1 - (10/13)</gadget>
<output>3/13 = around 0.230769</output>

<gadget id="calculator">(1/6) / (3/13)</gadget>
<output>13/18 = around 0.722222</output>

<gadget id="calculator">1 - (13/18)</gadget>
<output>5/18 = around 0.277778</output>

<gadget id="calculator">100 / (5/18)</gadget>
<output>360</output>

<result>360</result>