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The speed-density relationship of a highway is given as
u = 100 – 0.5 k
where, u = speed in km per hour, k = density in vehicles per km. The maximum flow (in vehicles per hour, round off to the nearest integer) is ______
    Correct answer is '5000'. Can you explain this answer?
    Verified Answer
    The speed-density relationship of a highway is given asu = 100 –...
    Given that,
    u = 100 – 0.5 k

    u = uf (1- k / kj)
    u = 100(1- (0.5k/100))
    = 100(1- k/200) therefore, uf = 100 and kj = 200

    = 5000 vehicles/hr
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    Most Upvoted Answer
    The speed-density relationship of a highway is given asu = 100 –...
    Km/h - 0.5Q, where u is the speed in km/h and Q is the traffic density in vehicles per km.

    This relationship indicates that as traffic density increases, the speed on the highway decreases. The maximum speed on the highway (when traffic density is zero) is 100 km/h. As traffic density increases, the speed decreases linearly at a rate of 0.5 km/h per vehicle per km.

    This relationship can be useful for traffic engineers and policymakers to understand the impact of traffic on highway speed and capacity. It can help in planning and designing highways to accommodate expected traffic volumes and to optimize traffic flow.
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    The speed-density relationship of a highway is given asu = 100 – 0.5 kwhere, u = speed in km per hour, k = density in vehicles per km. The maximum flow (in vehicles per hour, round off to the nearest integer) is ______Correct answer is '5000'. Can you explain this answer?
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