If a car drives from A to B, if the speed is increased by 20%, it can arrive half an hour earlier than the original time; if it travels 100 kilometers at the original speed, and then increases the speed by 25%, it can arrive 20 minutes earlier arrive. How many kilometers are there between A and B?
一辆汽车从甲地开往乙地，如果把车速提高20%，可以比原定时间提前半小时到达；如果以原速行驶100千米后，再将速度提高25%，则可以提前20分钟到达．甲、乙两地相距多少千米？
<gadget id="calculator">20 / 60</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>

<gadget id="calculator">1 + (1/4)</gadget>
<output>5/4 = around 1.25</output>

<gadget id="calculator">1 / (5/4)</gadget>
<output>4/5 = around 0.8</output>

<gadget id="calculator">1 - (4/5)</gadget>
<output>1/5 = around 0.2</output>

<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">0.5 / (1/6)</gadget>
<output>3</output>

<gadget id="calculator">(1/3) / (1/5) / 3</gadget>
<output>5/9 = around 0.555556</output>

<gadget id="calculator">1 - (5/9)</gadget>
<output>4/9 = around 0.444444</output>

<gadget id="calculator">100 / (4/9)</gadget>
<output>225</output>

<result>225</result>