1. For a 4km bus line, the speed of traffic and of the buses except for their stopping at bus stops is 24km/hr. Thelost time at every stop made is 15 seconds. Assume passengers to be uniformly distributed along the bus lineand will walk to/from bus stops at a speed of 5km/hr.
a) Determine the average total travel time (for a full line passenger trip) for the following twoschemes of stop spacing: i) every 250m; and ii) every 500mThen, using a spreadsheet:
b) Assume the terminal time is 2.5 mins at each end, draw the time-distance diagram showing allelements for both operation schemes. (Hint: assume the running speed and lost times are constantin both directions for the two cases).
c) If the average operating travel time for operation scheme (ii) was set the same as operationscheme (i), what would be the corresponding running speed? Plot the time-distance diagram onthe same chart in (b).
d) Determine graphically the passenger trip length at which the total travel time remains the same forthe two cases. (Hint: Use a trip length range of 0.5km to 10km at 0.5km increments).
2. Problem 1.7 in the textbook.
3. Problem 1.9 in the textbook.
4. For Route 97 (presented in class), suppose that the headway during the morning peak (6:00 AM – 9:00 AM)and afternoon peak (3:00 PM – 6:00 PM) needs to be 15 mins and the headway during off peak is 30 mins.The start times from terminal A should remain on the hour and half hour marks during off peak times (toconnect effectively with the timetable of an intersecting route). The layover times at A and D should not be equal; specifically, more time should be allocated to A than D. While minimizing the number of buses.
a) Build a timetable from 6:00AM to 10:00PM
b) For the timetable developed in (a) plot the corresponding graphical schedule from 6:00AM to 2:00PM.
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