A alone can do a job in 24 hours, B can do it in 32 hours, and C can do it in 48 hours. This work is done by A for several hours first, and then by B to do it again. B takes 4 times as long as A, and then C continues to do it. C's time is twice as long as B's. For one piece of work, how many hours did you spend in total?
一件工作，甲独做要24小时，乙独做要32小时，丙独做要48小时．这件工作由甲先做了若干小时，然后由乙接着做，乙做的时间是甲的4倍，再由丙接着做，丙做的时间是乙做的时间的2倍，终于做完了这件工作，问总共用了多少小时？
<gadget id="calculator">1 / 24</gadget>
<output>1/24 = around 0.041667</output>

<gadget id="calculator">4 / 32</gadget>
<output>1/8 = around 0.125</output>

<gadget id="calculator">4 / 48</gadget>
<output>1/12 = around 0.083333</output>

<gadget id="calculator">2 * (1/12)</gadget>
<output>1/6 = around 0.166667</output>

<gadget id="calculator">(1/24) + (1/8) + (1/6)</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">1 / (1/3)</gadget>
<output>3</output>

<gadget id="calculator">4 * 3</gadget>
<output>12</output>

<gadget id="calculator">4 * 3 * 2</gadget>
<output>24</output>

<gadget id="calculator">3 + 12 + 24</gadget>
<output>39</output>

<result>39</result>