To dig a 1,800-meter-long ditch, teams A and B will simultaneously excavate from opposite ends, and it will pass through (24/5) hours. It is known that the working efficiency ratio of team A and team B is 3:2, how many hours does it take for team A to finish digging the ditch?
挖一条1800米长的水沟，甲、乙两队分别同时从两端相向开挖，经过(24/5)小时挖通．已知甲队与乙队的工作效率比是3：2，甲队挖完这条水沟需要多少小时？
<gadget id="calculator">24 / 5</gadget>
<output>24/5 = around 4.8</output>

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

<gadget id="calculator">3 + 2</gadget>
<output>5</output>

<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>

<gadget id="calculator">(5/24) * (3/5)</gadget>
<output>1/8 = around 0.125</output>

<gadget id="calculator">1 / (1/8)</gadget>
<output>8</output>

<result>8</result>