Answer:
Wanda and Dave will catch each other in 54 seconds after Dave starts walking.
Step-by-step explanation:
Let Wanda and Dave catch each other when x be the time after Dave starts walking and y be the distance covered by them
It is given that Wanda started walking along a path 27 seconds before Dave and the constant speed of Wanda is 3 feet per second.
[tex]speed=\frac{distance}{time}[/tex]
[tex]3=\frac{y}{x+27}[/tex]
[tex]y=3(x+27)[/tex]
[tex]y=3x+81[/tex] .... (1)
The constant speed of Dave is 4.5 feet per second.
[tex]4.5=\frac{y}{x}[/tex]
[tex]y=4.5x[/tex] .... (2)
Equate equation (1) and (2).
[tex]3x+81=4.5x[/tex]
[tex]81=1.5x[/tex]
Divide both sides by 1.5.
[tex]\frac{81}{1.5}=x[/tex]
[tex]54=x[/tex]
Therefore, Wanda and Dave will catch each other in 54 seconds after Dave starts walking.
