City Administrator plans to restraint private car usage. The restraint is expected to increase the demand for public transport service. You are required to examine the following two routes: (a) The demand for LRT service from A to B is expected to increase during peak hours to 41,000 passengers per hour per direction. The headway must not be less than 120 seconds and must not be greater than 300 seconds. The station design is adequate for 10 coaches and the capacity of each coach is 280 passengers. Compute headway possibilities and corresponding number of coaches per train. You may use rail utilisation factor of 0.75 and load factor of 0.9. (b) Bus service between C and D is one of the services that has to be studied. One-way travel time has been decided to be not greater than 50 minutes. Expected peak hour demand is 3,800 passengers per hour per direction. The bus has 45 sitting and 20 standing capacity. Headway shall not be greater than 5 minutes and waiting time at terminal shall not be less than 5 minutes. Compute: (i) Actual headway. (ii) Cycle time (travel time for both direction and terminal waiting time (iii) The number of buses required for the service. (iv) Actual waiting time at the terminal.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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City Administrator plans to restraint private car usage. The restraint is expected to increase the demand for public transport service. You are required to examine the following two routes:
(a) The demand for LRT service from A to B is expected to increase during peak hours to 41,000 passengers per hour per direction. The headway must not be less than 120 seconds and must not be greater than 300 seconds. The station design is adequate for 10 coaches and the capacity of each coach is 280 passengers. Compute headway possibilities and corresponding number of coaches per train. You may use rail utilisation factor of 0.75 and load factor of 0.9.

(b) Bus service between C and D is one of the services that has to be studied. One-way travel time has been decided to be not greater than 50 minutes. Expected peak hour demand is 3,800 passengers per hour per direction. The bus has 45 sitting and 20 standing capacity. Headway shall not be greater than 5 minutes and waiting time at terminal shall not be less than 5 minutes.
Compute:
(i) Actual headway.
(ii) Cycle time (travel time for both direction and terminal waiting time
(iii) The number of buses required for the service.
(iv) Actual waiting time at the terminal.

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