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alialoydd
26.04.2020 •
Mathematics
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?
Solved
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Ответ:
Queremos encontrar un sistema de ecuaciones para la situación dada. Veremos que el sistema es:
D = (4km/h)*bC = (5km/h)*pD + C = 8kmp + b = 2hPrimero, 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:
D = (4km/h)*bC = (5km/h)*pD + C = 8kmp + b = 2hSí quieres aprender más, puedes leer:
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Ответ:
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.
Ответ:
21•32 = 672