A subcontractor signed a contract to excavate $5860$ meter of trench in hard clay for an undeground cable. The trench will be $30$ cm wide and average depth will be $165$ cm$.$ Rubber tire trenching

machine with one labor in addition to the operator will be used with productivity rate $1\mathrm{.}5$meter min Assume $45$ min for effective hour for expected delay and other conditions. The duration required to excavate the whole quantity is near to$?$

a$)11$ days

b$)12$ days

c$)15$days

d$)16$ days