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wanda started walking along a path 27 seconds before Dave .Wanda walked at a constant rate of 3 feet per second. Dave walked along the same path at a constant rate of 4.5 feet per second. how long after Dave starts walking will he catch up with Wanda.?

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Answer:

54 seconds

Step-by-step explanation:

Wanda's walking rate = 3 ft/s

Wanda's head start = 27 s

Dave's walking rate= 4.5 ft/s

Let 't' be time after Dave started walking

The distance walked by Wanda and Dave, respectively, as a function of 't' are given by:

[tex]W(t) = (27+t)*3\\D(t) = 4.5*t[/tex]

The instant 't' at which Dave catches up to Wanda (both distances walked are equal) is:

[tex](27+t)*3= 4.5*t\\t=\frac{81}{1.5} \\t= 54\ s[/tex]

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