A simulation model of a G$/$G$/2$ queuing model was run for $10$ minutes. The area under B$($t$)$ graph is $11$ units. It is given that the total busy time of the first resource is $1$ minute more than the second resource. In this case what are the utilization rates of first and second resources respectively?

a$.0\mathrm{.}60$ and $0\mathrm{.}50$

b$.0\mathrm{.}55$ and $0\mathrm{.}55$

c $0\mathrm{.}50$ and $0\mathrm{.}50$

d $0\mathrm{.}60$ and $0\mathrm{.}40$

e$.0\mathrm{.}55$ and $0\mathrm{.}45$