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Q2.6 (Highway) While driving home for the holidays, you can’t seem to get Little

ID: 462113 • Letter: Q

Question

Q2.6 (Highway) While driving home for the holidays, you can’t seem to get Little’s Law out of your mind. You note that your average speed of travel is about 60 miles per hour. Moreover, the traffic report from the WXPN traffic chopper states that there is an average of 24 cars going in your direction on a one-quarter mile part of the highway. What is the flow rate of the highway (going in your direction) in cars per hour? cleaner is the same for both companies and that the price and the inventory turns of an item are independent.

Explanation / Answer

Number of cars = 24

Part of the highway = 1/4th mile. Thus flow time = 1/4*1 = 0.25 hour

Now, flow rate in cars per hour = number of cars/flow time = 24/0.25 = 96 cars per hour.