The traffic department would like to find out the safe speed limit for a highway. At the same time, it would like to allow the traffic to move as quickly as possible, to avoid congestion. Assuming all vehicles have the same length – C meters, the safe distance between two vehicles is D meters and S is the speed of the vehicles in Km/ hour, which of the following model describes the flow of the vehicles on the highway:

Option A Flow = S/(C+D)
B Flow = 0.278S/(C+D)
C Flow = 1.467S/(C+D)
D None of the above

Question

The traffic department would like to find out the safe speed limit for a highway. At the same time, it would like to allow the traffic to move as quickly as possible, to avoid congestion. Assuming all vehicles have the same length – C meters, the safe distance between two vehicles is D meters and S is the speed of the vehicles in Km/ hour, which of the following model describes the flow of the vehicles on the highway:  

   Option A Flow = S/(C+D)  
    B Flow = 0.278S/(C+D)  
    C Flow = 1.467S/(C+D)  
    D None of the above

jack1 · Answer

do we have all of the details to solve this...?
where did 0.2785 come from...?

anonymous · Answer

ya..this is all i have about this problem

anonymous · Answer

the biggest problem is this only that where did this 0.2785 come from

jack1 · Answer

speed = distance over time
C+D = a distance
so if it were option A, answer would be in units of (hrs)^-1

so id go D, none of the above, as flow should be measured in units of cars/hour, and B and C seem like random numbers to me.