A pool is equipped with water pipes ①, ②, ③, ④, and ⑤. If the three water pipes ①, ②, and ③ are opened at the same time, the empty pool can be filled in 15 hours; if the three water pipes ①, ③, and ⑤ are opened at the same time, the empty pool can be filled in 10 hours; ①③④The three water pipes can fill the empty pool in 12 hours; if the three water pipes ②④⑤ are opened at the same time, the empty pool can be filled in 8 hours. Q: How many hours can the empty pool be filled by opening five water pipes at the same time?
一个水池装有①、②、③、④、⑤根水管，如果同时打开①②③三很水管，15小时可注满空池；如果同时打开①③⑤三根水管，10小时可注满空池；如果同时打开①③④三根水管，12小时可注满空池；如果同时打开②④⑤三根水管，8小时可注满空池．问：同时打开五根水管几小时可注满空池？
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>

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

<result>6</result>