Travel time in London: The time t, in minutes, required to drive d miles on a congested road can be calculated from where v0 is the average speed in miles per hour when the road is uncongested, q is...

Travel time in London: The time t, in minutes, required to drive d miles on a congested road can be calculated from

where v0 is the average speed in miles per hour when the road is uncongested, q is the traffic flow in vehicles per hour, and a is a constant that depends on various characteristics of the roadway. For central London, the estimates72 v0 = 28 miles per hour and a = 0.008 mile per vehicle have been used.

a. According to this model, how long will it take to travel 2 miles in central London if traffic flow is 1500 vehicles per hour?

b. This model can be valid only when aq <>

c. What happens to travel time when the flow approaches the value you found in part b?