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]
