car travels from city A to city B at a speed of 40 kilometers per hour. When it returns, it travels at the original speed (3/4) for an additional 5 kilometers, and then changes to a speed of 30 kilometers per hour. After finishing the rest of the journey, it takes 10 minutes longer to return to city A than to go to city B. How far is the distance between city A and city B?
一辆汽车以每小时40千米的速度从甲城开往乙城，返回时它用原速度行驶了全程的(3/4)还多5千米，再改用每小时30千米的速度走完余下的路程，因此，返回甲城的时间比前往乙城的时间多用了10分钟，甲乙两城相距多远？
<gadget id="calculator">5 / 30</gadget>
<output>1/6 = around 0.166667</output>

<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>

<gadget id="calculator">5 / 40</gadget>
<output>1/8 = around 0.125</output>

<gadget id="calculator">(1/6) - (1/8)</gadget>
<output>1/24 = around 0.041667</output>

<gadget id="calculator">(1/6) + (1/24)</gadget>
<output>5/24 = around 0.208333</output>

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

<gadget id="calculator">1 / 30</gadget>
<output>1/30 = around 0.033333</output>

<gadget id="calculator">(1/4) * (1/30)</gadget>
<output>1/120 = around 0.008333</output>

<gadget id="calculator">1 / 40</gadget>
<output>1/40 = around 0.025</output>

<gadget id="calculator">(1/4) * (1/40)</gadget>
<output>1/160 = around 0.00625</output>

<gadget id="calculator">(1/120) - (1/160)</gadget>
<output>1/480 = around 0.002083</output>

<gadget id="calculator">(5/24) / (1/480)</gadget>
<output>100</output>

<result>100</result>