Two routes connect an origin-destination pair with performance functions t₁ = 5 + (x₁/2)² and t₂ = 7+ (x2/4)² (with t's in minutes and x's in thousands of vehicles per hour). It is known that at user equilibrium, 75% of the origin-destination demand takes route 1. What percentage would take route 1 if a system-optimal solution were achieved, and how much travel time would be saved?

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Evaluation of Transportation Projects

Civil engineers undertake a variety of projects related to construction. Building construction projects, structural projects, highway, road construction projects, transportation projects, etc. Transportation projects are related to public constructions that focus to build new connectivity in public transportation. To improve and maintain existing transport facilities also falls under the domain of transportation projects. Some of its objectives include planning, evaluation, designing, development, finance, construction, reconstruction, demolition, rehabilitation, improvement, acquisition, operation, and maintenance. As per the law, all transport projects are authorized to the construction firm that permits them to change the land area meant for public use.