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Automobile traffic passes a point P on a road of width w feet with an average rate of R vehicles per second. Although the arrival of automobiles is irregular, traffic engineers have found that the average waiting time T until there is a gap in traffic of at least t seconds is approximately T=teᴿᵗ seconds. A pedestrian walking at a speed of 3.4ft/s requires t=(ω/3. 4) s to cross the road. Therefore, the average time the pedestrian will have to wait before crossing is f(w,R)=(ω/3.4)eωᴿ/³.⁴ᴬ s. What is the pedestrian's average waiting time if w=23ft and R=0.2 vehicle per second?
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