A retail chain is trying to design a payment kiosk, for national rollout. Two designs are being considered:

Design A: A pooled system with two human servers $($each server provides exponentially$-$distributed service at the rate of $13\mathrm{.}1$ customers$/$hour$).$ Customers are expected to join the system in a Poisson process at the rate of $24/$hour$.$

Design B: A single robotic server that provides constant duration service at the rate of $25\mathrm{.}2$ customers$/$hour$.$ Customers are expected to join the system in a Poisson process at the rate of $24/$hour$.$

One of the designs results in a shorter average time in system. What is that $($shorter$)$ average time in system $($in hours$)?$ Give your answer $($as a number only$)$ to four decimal place accuracy.