A road construction team wants to build a section of expressway. Team A will complete the project in 100 days, and team B will complete it in 150 days. Now the two teams cooperate, during which team A rests for 8 days, and team B rests for 13 days (the two teams cannot rest at the same time). How many days does it take from start to finish.
某筑路队要修一段高速公路，甲队独修100天完成，乙队独修150天完成．现在两队合作，期间甲队休息了8天，乙队休息了13天(两个队不能同时休息)．开工到完工用多少天．
<gadget id="calculator">1 / 100</gadget>
<output>1/100 = around 0.01</output>

<gadget id="calculator">(1/100) * 13</gadget>
<output>13/100 = around 0.13</output>

<gadget id="calculator">1 / 150</gadget>
<output>1/150 = around 0.006667</output>

<gadget id="calculator">(1/150) * 8</gadget>
<output>4/75 = around 0.053333</output>

<gadget id="calculator">1 - (13/100) - (4/75)</gadget>
<output>49/60 = around 0.816667</output>

<gadget id="calculator">(1/100) + (1/150)</gadget>
<output>1/60 = around 0.016667</output>

<gadget id="calculator">(49/60) / (1/60)</gadget>
<output>49</output>

<gadget id="calculator">49 + 8 + 13</gadget>
<output>70</output>

<result>70</result>