5 men working 6 hours a day can dig a trench 180m long in 4 days. How many days would 8 men working 3 hrs a day take to dig a trench 220m long

assuming efficiency of each man to dig trench, in one day, for one hour is constant,

so one man, working for one hour in one day can dig 1.5 m

so 8 men, working 3 hours a day and will take, say $d$ number of days and efficiency will be constant. so,

$\frac32=\frac{220}{8\times3\times d}$

$\implies d=\frac{55}9=6.12$

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