Suppose you walk for w hours at 3 miles per hour and then drive a car for d hours at 45 miles per hour, covering a total distance of 60 miles. (a) Write a constraint equation that relates the time spent walking and driving to the total distance covered. 20 help (equations) (b) If you only walk and do not drive, how much time do you spend walking? w = 20 hours help (numbers) (c) If vou only drive and do not walk, how much time do vou spend driving?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Suppose you walk for w hours at 3 miles per hour and then drive a car for d hours at 45 miles per
hour, covering a total distance of 60 miles.
(a) Write a constraint equation that relates the time spent walking and driving to the total distance
covered.
20
help (equations)
(b) If you only walk and do not drive, how much time do you spend walking?
A
W =
20
hours help (numbers)
D
(c) If you only drive and do not walk, how much time do you spend driving?
d = 4/3
hours help (numbers)
(Click on graph to enlarge)
(d) Find a solution to your equation in part (a) that has spends some time driving and some time
walking.
W =
5
hours help (numbers)
d = 1
hours help (numbers)
(e) On a piece of paper, sketch a graph your equation in part (a) and mark your solutions from
parts (b)-(d) on your graph.
Which graph A-D in the figure best resembles your graph? C v
Transcribed Image Text:Suppose you walk for w hours at 3 miles per hour and then drive a car for d hours at 45 miles per hour, covering a total distance of 60 miles. (a) Write a constraint equation that relates the time spent walking and driving to the total distance covered. 20 help (equations) (b) If you only walk and do not drive, how much time do you spend walking? A W = 20 hours help (numbers) D (c) If you only drive and do not walk, how much time do you spend driving? d = 4/3 hours help (numbers) (Click on graph to enlarge) (d) Find a solution to your equation in part (a) that has spends some time driving and some time walking. W = 5 hours help (numbers) d = 1 hours help (numbers) (e) On a piece of paper, sketch a graph your equation in part (a) and mark your solutions from parts (b)-(d) on your graph. Which graph A-D in the figure best resembles your graph? C v
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