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 = teR¹ seconds. A pedestrian walking at a speed of 3.3 ft/s requires t = 3.3s to cross the road. Therefore, the average time the pedestrian will have to wait before crossing is f(w, R) = (33) ew R/3.3 s. What is the pedestrian's average waiting time if w = 23 ft and R = 0.2 vehicle per second? (Use decimal notation. Give your answer to two decimal places.) t = 28.09 Use the Linear Approximation to estimate the increase in waiting time if w is increased to 25 ft. (Use decimal notation. Give your answer to two decimal places.)
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 = teR¹ seconds. A pedestrian walking at a speed of 3.3 ft/s requires t = 3.3s to cross the road. Therefore, the average time the pedestrian will have to wait before crossing is f(w, R) = (33) ew R/3.3 s. What is the pedestrian's average waiting time if w = 23 ft and R = 0.2 vehicle per second? (Use decimal notation. Give your answer to two decimal places.) t = 28.09 Use the Linear Approximation to estimate the increase in waiting time if w is increased to 25 ft. (Use decimal notation. Give your answer to two decimal places.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:W
3.3
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 3.3 ft/s requires t = s to cross the
road. Therefore, the average time the pedestrian will have to wait before crossing is f(w, R)
What is the pedestrian's average waiting time if w = 23 ft and R = 0.2 vehicle per second?
(Use decimal notation. Give your answer to two decimal places.)
(33) ew R/3.3 s.
t =
28.09
Use the Linear Approximation to estimate the increase in waiting time if w is increased to 25 ft.
(Use decimal notation. Give your answer to two decimal places.)
Transcribed Image Text:Estimate the waiting time if the width is increased to 25 ft and R decreases to 0.19.
(Use decimal notation. Give your answer to two decimal places.)
t =
31.90
Incorrect
What is the rate of increase A in waiting time per 1-ft increase in width when w = 29 ft and R = 0.3 vehicle per second?
(Use decimal notation. Give your answer to two decimal places.)
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