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The capacity of a highway is suddenly reduced to 50 percent of its normal capacity due...

The capacity of a highway is suddenly reduced to 50 percent of its normal capacity due to closure of certain lanes in a work zone. If the Greenshields model describes the relationship between speed and density on the highway, the jam density of the highway is 111 veh/mi, and the mean free speed is 69 mi/h, determine by what percentage the space mean speed at the vicinity of the work zone will be reduced if the flow upstream is 80 percent of the capacity of the highway.

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