Question

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. Graph the system of linear equations. How long after Dave starts walking will he catch up with Wanda?

Answer 1

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.

$speed=\frac{distance}{time}$

$3=\frac{y}{x+27}$

$y=3(x+27)$

 $y=3x+81$                          .... (1)

The constant speed of Dave is 4.5 feet per second.

$4.5=\frac{y}{x}$

$y=4.5x$                                .... (2)

Equate equation (1) and (2).

$3x+81=4.5x$

$81=1.5x$

Divide both sides by 1.5.

$\frac{81}{1.5}=x$

$54=x$

Therefore, Wanda and Dave will catch each other in 54 seconds after Dave starts walking.