Courtney camino desde su casa a la playa a una velocidad constante de 4 kilómetros por hora, y luego de la
playa al parque a una velocidad constante de 5 kilómetros por hora. La caminata completa tomó 2 horas y
la distancia total que Courtney recorrió fue 8 kilómetros.
Sea b el número de horas que le llevó a Courtney caminar de su casa a la playa y sea p el número de horas
que le llevó caminar de la playa al parque.
¿Cuál sistema de ecuaciones representa esta situación?

Queremos encontrar un sistema de ecuaciones para la situación dada. Veremos que el sistema es:

Primero, es fundamental recordar la relación:

Distancia = velocidad*tiempo.

Sabemos que Courtney va de su casa a la playa a 4km/h, se la D distancia entre su casa y la playa y b el tiempo que tarda en llegar, entonces tenemos:

D = (4km/h)*b

Luego va de la playa al parque a 5km/h, sea C la distancia de la playa al parque y p el número de horas que tarda en llegar, entonces tenemos:

C = (5km/h)*p

Finalmente, sabemos que la distancia total que recorre es 8km y el tiempo total es 2 horas, entonces tenemos:

D + C = 8km

p + b = 2h

Así encontramos 4 ecuaciones para 4 variables, entonces el sistema de ecuaciones es:

Sí quieres aprender más, puedes leer:

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The system of equations represents this situation is:

4b + 5p = 8 and b + p = 2.

Step-by-step explanation:

The question is:

Courtney walked from her house to the beach at a constant speed of 4 kilometres per hour, and after  beach to the park at a constant speed of 5 kilometres per hour. The entire walk took 2 hours and  the total distance Courtney traveled was 8 kilometres.  Let b be the number of hours it took Courtney to walk from her house to the beach and let p be the number of hours  it took him to walk from the beach to the park.  Which system of equations represents this situation?

Solution:

The formula to speed is:

Then the formula of distance traveled is:

Let the two distances traveled by Courtney be, d₁ and d₂.

It is provided that:

Speed at Courtney walked from her house to the beach was, s₁ = 4 km/h.

Speed at Courtney walked from the beach to the park was, s₂ = 5 km/h.

The total distance traveled is,

d₁ + d₂ = 8...(i)

It is assumed that,

b =  number of hours it took Courtney to walk from her house to the beach

p = number of hours  it took him to walk from the beach to the park

Then the equation (i) can be written as:

bs₁ + ps₂ = 8

⇒ 4b + 5p = 8

Also the total time it took to travel 8 kilometres is 2 hours.

Then,

Thus, the system of equations represents this situation is:

4b + 5p = 8 and b + p = 2.

$25

step-by-step explanation:

25 - 4.50 = 20.5

20.5 / 2 = 10.25

10.25 + 10 = 20.25

20.25 - 12.50 = 7.75

therefore the answer is $25 as shown as the first number.