if X,Y and Z can finish a work in 12,15 and 18 day respectively, then all three together can finish that work in how many days?
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12 for X Then 3 more days for Y and 3 more days for Z⇒
so the work can be done in 12 Days if they all work like X, if they compromise with Y then 15 days, and finally if they work like Z then 18 days! so the maximum number of days for the work is 18 days!
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