Question $2($inspired by H&L$,17\mathrm{.}2-7).$

You are given two queueing systems, $Q_1$ and $Q_2.$ The mean arrival rate, the mean service rate per busy server, and the steady$-$state expected number of customers for $Q_2$ are three times the corresponding values for $Q_1.$ Let $W_i$ represent the steady$-$state expected waiting time in the

system for $Q_i$ for each iin$\{1,2\}.$ Determine $\frac{W_2}{W_1}.$