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 1 seconds is approximately T = teRt seconds. A pedestrian walking at a speed of 3.3 ft/s requires 1= s to cross the road. Therefore, the average time the pedestrian will have to wait before crossing is f(w, R) = () WR/3. S What is the pedestrian's average waiting time if w= 24 ft and R = 0.2 vehicle per second? (Use decimal notation. Give your answer to two decimal places.) 1 = Use the Linear Approximation to estimate the increase in waiting time if w is increased to 26 ft. (Use decimal notation. Give your answer to two decimal places.) Af = 31.15 1 = Estimate the waiting time if the width is increased to 26 ft and R decreases to 0.18. (Use decimal notation. Give your answer to two decimal places.) 6.37 A = 32.48 Incorrect What is the rate of increase A in waiting time per 1-ft increase in width when w = 27 ft and R = 0.2 vehicle per second? (Use decimal notation. Give your answer to two decimal places.) 4.10
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 1 seconds is approximately T = teRt seconds. A pedestrian walking at a speed of 3.3 ft/s requires 1= s to cross the road. Therefore, the average time the pedestrian will have to wait before crossing is f(w, R) = () WR/3. S What is the pedestrian's average waiting time if w= 24 ft and R = 0.2 vehicle per second? (Use decimal notation. Give your answer to two decimal places.) 1 = Use the Linear Approximation to estimate the increase in waiting time if w is increased to 26 ft. (Use decimal notation. Give your answer to two decimal places.) Af = 31.15 1 = Estimate the waiting time if the width is increased to 26 ft and R decreases to 0.18. (Use decimal notation. Give your answer to two decimal places.) 6.37 A = 32.48 Incorrect What is the rate of increase A in waiting time per 1-ft increase in width when w = 27 ft and R = 0.2 vehicle per second? (Use decimal notation. Give your answer to two decimal places.) 4.10
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: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 1 seconds is approximately T = teRt seconds. A pedestrian walking at a speed of 3.3 ft/s requires 1= s to cross the
road. Therefore, the average time the pedestrian will have to wait before crossing is f(w, R) = () WR/3.
S
What is the pedestrian's average waiting time if w= 24 ft and R = 0.2 vehicle per second?
(Use decimal notation. Give your answer to two decimal places.)
1 =
Use the Linear Approximation to estimate the increase in waiting time if w is increased to 26 ft.
(Use decimal notation. Give your answer to two decimal places.)
Af =
31.15
1 =
Estimate the waiting time if the width is increased to 26 ft and R decreases to 0.18.
(Use decimal notation. Give your answer to two decimal places.)
6.37
A =
32.48
Incorrect
What is the rate of increase A in waiting time per 1-ft increase in width when w = 27 ft and R = 0.2 vehicle per second?
(Use decimal notation. Give your answer to two decimal places.)
4.10
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