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FE Review-Transportation 1. An interstate weigh station can weigh an average of 20 trucks per hour. Trucks arrive at the average rate of 12 trucks per hour . Performance is described by an M/ M/1 model. What is most nearly the steady-state value of the trucks' time spent waiting to be weighed? (A) 0. 13 hr/truck (B) 0. 25 hr/truck (C) 4.0 hr/truck (D) 8.0 hr/truck 2. A traffic flow relationship is given by q= kv , where q is the traffic volume in veh/hr , k is the traffic density in veh/mi, and v is the mean speed in mi/hr. The mean speed on a road in mi/hr is given by the relationship V = 60 mi - (o .2 ~) k hr veh-hr The maximum capacity of overall traffic volume for this road is most nearly (A) 3400 veh/hr (B) 4300 veh/hr (C) 4500 veh/hr (D) 5000 veh/hr 3. A highway weigh station can inspect an average of 16 trucks per hour. Trucks arrive at the average rate of 10 trucks per hour. Performance is described by an M/ M/1 model. What is most nearly the steady - state value of the number of trucks in the station? t,l'\ i,.,u (A) 0. 16 (B) 0.60 (C) 1.7 (D) 2 .5 18
FE Review-Transportation 4. Vehicles arrive at a parking garage at an average rate of 45 vehicles per hour . Vehicles are parked by either of two attendants at an average rate of one vehicle per minute for each attendant. The queue discipline is first come, first served. The arrival of vehicles is modeled as a Poisson's distribution and attendant parking time is modeled as an exponential distribution. What is most nearly the probability that at least one a ttendant will be idle? (A) 0.34 (B) 0.45 (C) 0.52 (D) 0.80 5. The relationship between traffic density and mean vehicle speed is shown for a particular road. 60 53 50 40 > -a Q) Q) 30 Cl. (/) Q) ~ .c 20 Q) > C Ctl Q) 10 E 20 30 40 50 60 70 10 66.25 traffic density , k (veh/mi) What is most nearly the maximum traffic volume for this road? (A) 760 veh/hr (B) 880 veh/hr (C) 900 veh/hr (D) 960 veh/hr 19
FE Review-Transportation 6. A b or der's point of entry ca n weigh an average of 24 truc ks per hour. T ru cks arri ve at the average rate of 15 t ru cks p er hour. Performa nce is descri bed by an M/ M/ 1 mode l. What is most n ea rly the stea dy- state va lue of the probab il ity th at there will be five truc ks being weighed or wa itin g to be weigh ed at any time? ( A) 0. 010 (B) 0.036 (C) 0.38 (D) 0.63 1. Boundary and traverse lines bounding an irregular area are shown. boundary. 34 ft I 31 ft 1 29 ft 23 ft I 21 ft I 23 ft i 30 ft 30 ft 30 ft traverse 30 ft 30 ft line The total area between the irregular boundary and the traverse line is most nearly (A) 3600 ft 2 (B) 3800 ft 2 (C) 4000 ft 2 (D) 4200 ft 2 20
FE Review-Transportation 2. Global positioning system (GPS) latitudes and long itudes were taken of a plot of land. In the region where the plot is located, the length of a degree of latitude is 364,320 ft, and the length of a degree of longitude is 248,160 ft. N 47.3116° E 122.8163° N 47.3118° B r E 122.8184° C o C\l CO CD 00 D N 47.3105° N 47.3104° E 122.8162° E 122.8183° 1°E/248,160 ft • What is most nearly the area of the plot? (A) 5.0 ac (B) 5.1 ac (C) 5.3 ac (D) 5.4 ac 3. The illustration shows a curve from x = 0 to x = 6. 4 Using intervals of 1, what is most nearly the area under the curve predicted by Simpson's l /z rule? (A) 14 (B) 15 (C) 16 (D) 17 21
FE Review-Transportation 4. A polygon is created by enclosing lines as shown. C "-—J? A E 1 G 2 Using an interval of 1, what is most nearly the area of the polygon predicted by the trapezoidal rule? (A) 15 (B) 16 (C) 17 (D) 18 5. Which statement(s) concerning methods used to determine areas under a curve or line is/are true? I. The trapezoidal rule applies to areas where the irregular sides are curved. II. Simpson's rule only applies to an odd number of data points. III. The area by coordinates method can be used if the coordinates of the traverse leg end points are known. (A) I only (B) III only (C) I and III (D) I, II, and III 22
FE Review-Transportation 1. A horizontal curve is laid out with the point of curve, PC, station and the length of long chord, LC, as shown. PT sta 10 + 46 b PC I--- I = 104 36' / / The radius of the curve is most nearly (A) 520 ft (B) 560 ft (C) 620 ft (D) 670 ft 2. A freeway route has a horizontal curve with a PI at sta 11+01.86, an intersection angle, I, of 12°24'00" right, and a radius of 1760 ft. The PC is located at (A) sta 9+10 (B) sta 9+22 (C) sta 10+11 (D) sta 10+24 23
FE Review-Transportation 3. A vertical sag curve has a length of 8 sta and con nects a —2.0% grade to a 1.6% vertical grade. The PVI is located at sta 87+00 and has an elevation of 2438 ft. L = 8 sta PVC PVT 2.0% 1.6% PVI = sta 87 + 00 PVI elevation = 2438 ft The elevation of the lowest point on the vertical curve is most nearly (A) 2420 ft (B) 2430 ft (C) 2440 ft (D) 2450 ft 24
FE Review-Transportation 4. A 6° curve has forward and back tangents that inter sect at sta 14+87.33. PI at sta 14+87.33 1= 11°21 '35" PC The station of the point of curve, PC, is most nearly (A) sta 5+32 (B) sta 9+93 (C) sta 11+28 (D) sta 13+92 25
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