Two routes connect an origin and a destination and the flow, Ask an Expert

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Two routes connect an origin and a destination, and the flow is 15,000 veh/h. Route 1 has a performance function t_l = 4 + 3x₁, and route 2 has a function of t₂ = b + 6x₂, with the x's expressed in thousands of vehicles per hour and the t's in minutes.

(a) If the user equilibrium flow on route 1 is 9780 veh/h, determine the free-flow travel time on route (b) and equilibrium travel times.

(b) If population declines reduce the number of travelers at the origin, and the total origin-destination flow is reduced to 7000 veh/h, determine user equilibrium travel times and flows.

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