A multilane highway has two northbound lanes. Each lane has a capacity of 1500 vehicles per...

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Civil Engineering

A multilane highway has two northbound lanes. Each lane has acapacity of 1500 vehicles per hour. Currently, northbound trafficis consists of 3100 vehicles with 1 occupant, 600 vehicles with 2occupants, 400 vehicle with 3 occupants, and 20 buses with 50occupants each. The highwayâ€™s performance function is
t = t₀ ( 1 + 1.15 (x/c)^6.87 )
where t is in minutes, t₀ is equal to 15minutes, and x and c are volumes and capacities in vehicle perhour. An additional lane is being added with 1500 veh/h capacity.What will the total person hours of travel be if the lane is
(a) open to all traffic,
(b) open to vehicles with two or more occupants only, and
(c) open to vehicles with three or more occupants only? (Assumethat all qualified higher-occupancy vehicles use only the new lane,no unqualified vehicles use the new lane, and there is no modeshift.)

Answer & Explanation Solved by verified expert

4.2 Ratings (733 Votes)

We are given the lane capacity so we can calculate totalcapacity to be 1500 2 3000 vehicles of lanesLane Capacity vehhourTotal Capacity215003000Now when you add a new lane the capacity becomes 4500vehiclesWe are given our travel time functions and vehicle compositionsso we can calculate travel time for diffeent vehicle types asfollowsfor See Answer

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