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HW 4 Solution

# HW 4 Solution - CEE 362 Homework#4 Solution Manual Problem...

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CEE 362 - Homework #4 Solution Manual 1 Problem # 1: time-mean speed: = = = 48.33 mi/ h space-mean speed: because the vehicles are travelling at constant speed, the equation 5.9 can be rearranged, knowing that distance divided by time will be the speed: = = = mi/hr

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CEE 362 - Homework #4 Solution Manual 2 Problem # 2: capacity of the highway section =0 50-0.3k = 0 = 166.6 veh/mi speed at capacity = k.v 4166.6 = 166.6. V = 25 mi/hr the density at a flow rate of 0.25* 4166.6 veh is: 1041 = -0.15 +50 k 0.15 = 311 veh/mi = 22.3 veh/mi The density at this level is about 311 or 22.3 veh/mi
CEE 362 - Homework #4 Solution Manual 3 Problem # 3: Given: h exponentially distributed 65% of headway 9 sec t = 30 sec Required: P (4) = ? Solution: Ln ( 400 q e ) = Ln (0.65) = - 0.43078 q = 172 veh /hr P (n = 4) = 4.2% 65 . 0 9 400 3600 ) 9 ( q q e e h P ! 3600 ) ( 3600 n e qt n P qt n 042 . 0 ! 4 3600 ) 30 ( 172 ) 4 ( 3600 ) 30 ( 172 4 e P

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CEE 362 - Homework #4 Solution Manual 4 Problem # 4: Given: Queue start: 8 A.M, service start: 8:10 A.M
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