Assume a district with 5,000 cars. The traffic network in the district is based on four...
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Assume a district with 5,000 cars. The traffic network in the district is based on four points and four roads as shown in the graph below. (X/125) minutes A 30 minutes B AC = 50 minutes CD = X/125 minutes C 5 minutes 50 minutes D (X/125) minutes Point A in the west is a residential area; point D in the east is the business district. Because of the city geography, there is no direct road between A and D. There is however a high- speed bridge which connects B and C, so that it only takes 5 minutes to cross it. Because of the short time it takes to cross the BC bridge, all drivers take routes through C and D. With X denoting the number of cars, the commuting times between the rest of the points are as follows AB = X/125 minutes BD = 50 minutes (A) Calculate commuter time between A and D when all cars cross the bridge (B) The bridge is not only an eyesore but more importantly, it generates considerable noise and car exhaust pollution, so the authorities with a view to improve the environment demolish it and replace it with a park. To the regret of the business lobby, the BC rout is now closed to traffic. However, to everybody's surprise in the district despite the removal of the BC road, commuter time between A and D has decreased. Explain the paradox just described All sub-questions carry equal weights Assume a district with 5,000 cars. The traffic network in the district is based on four points and four roads as shown in the graph below. (X/125) minutes A 30 minutes B AC = 50 minutes CD = X/125 minutes C 5 minutes 50 minutes D (X/125) minutes Point A in the west is a residential area; point D in the east is the business district. Because of the city geography, there is no direct road between A and D. There is however a high- speed bridge which connects B and C, so that it only takes 5 minutes to cross it. Because of the short time it takes to cross the BC bridge, all drivers take routes through C and D. With X denoting the number of cars, the commuting times between the rest of the points are as follows AB = X/125 minutes BD = 50 minutes (A) Calculate commuter time between A and D when all cars cross the bridge (B) The bridge is not only an eyesore but more importantly, it generates considerable noise and car exhaust pollution, so the authorities with a view to improve the environment demolish it and replace it with a park. To the regret of the business lobby, the BC rout is now closed to traffic. However, to everybody's surprise in the district despite the removal of the BC road, commuter time between A and D has decreased. Explain the paradox just described All sub-questions carry equal weights
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Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
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