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zepelin [54]
4 years ago
13

Wanda started walking along a path 27 seconds before Dave. Wanda walked at a constant rate of 3 feet per second. Dave walked alo

ng 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?

Mathematics
1 answer:
Advocard [28]4 years ago
6 0

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.

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