Q3: A bus route on a city is scheduled for 30 min headways. The route has 5 stops along the route. Calculate the number of berths that are required for each bus stop on this route. The design number of boarding is 12 and the design number of alighting is 10. All buses that are travelling on this route have one single door on the front. Assume clearance time is 15 seconds, and that maximum allowable probability of bus queuing is 10 %. All bus stops are a far-side stop. In addition, construct a time schedule for this bus route based on the running times given below. Assume minimum layovers are 7 min at each end or 10% of running time, whichever is greater. The first bus from A to E should leave at 8:00 am. The schedule should cover the time block from 8:00 am to 10:00 am. Segments travel times are A-B: 5 min, B-C: 20 min, C-D: 10 min, D-E: 15 min E-D: 15 min, D-C: 12 min, C-B: 22 min, B-A: 5 min

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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Q3:
A bus route on a city is scheduled for 30 min headways. The route has 5 stops along the route.
Calculate the number of berths that are required for each bus stop on this route. The design
number of boarding is 12 and the design number of alighting is 10. All buses that are travelling
on this route have one single door on the front. Assume clearance time is 15 seconds, and that
maximum allowable probability of bus queuing is 10%. All bus stops are a far-side stop.
In addition, construct a time schedule for this bus route based on the running times given
below. Assume minimum layovers are 7 min at each end or 10% of running time, whichever is
greater. The first bus from A to E should leave at 8:00 am. The schedule should cover the time
block from 8:00 am to 10:00 am.
Segments travel times are
A-B: 5 min, B-C: 20 min, C-D: 10 min, D-E: 15 min
E-D: 15 min, D-C: 12 min, C-B: 22 min, B-A: 5 min
Transcribed Image Text:Q3: A bus route on a city is scheduled for 30 min headways. The route has 5 stops along the route. Calculate the number of berths that are required for each bus stop on this route. The design number of boarding is 12 and the design number of alighting is 10. All buses that are travelling on this route have one single door on the front. Assume clearance time is 15 seconds, and that maximum allowable probability of bus queuing is 10%. All bus stops are a far-side stop. In addition, construct a time schedule for this bus route based on the running times given below. Assume minimum layovers are 7 min at each end or 10% of running time, whichever is greater. The first bus from A to E should leave at 8:00 am. The schedule should cover the time block from 8:00 am to 10:00 am. Segments travel times are A-B: 5 min, B-C: 20 min, C-D: 10 min, D-E: 15 min E-D: 15 min, D-C: 12 min, C-B: 22 min, B-A: 5 min
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