Question: Two routes connect an origin - destination pair with performance functions: t 1 = 5 + 0 . 5 ( x 1 2 ) 2

Two routes connect an origin-destination pair with performance functions: t1=5+0.5(x12)2
t2=7+(x24)2(with t's in minutes and x''s in thousands of vehicles per hour). It is known that
user equilibrium, 75% of the origin-destination demand takes route 1. What percentage of
user equilibrium flow in route 1 will take route 2 if a system-optimal solution were achieved
and how much total system travel time (veh-hr) would be saved?
38.8%,48.59 veh-hr
28.8%,38.59 veh-hr
18.8%,28.59 veh-hr
8.8%,18.59 veh-hr
Two routes connect an origin - destination pair

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