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kirill [66]
3 years ago
5

Sabrina y Diana asistieron a una conferencia fuera de sus respectivas ciudades. Despues de de la conferencia, Sabrina regresa a

su casa conduciendo a una velocidad promedio promedio de 65 millas por hora, mientras que Diana lo hace a una velocidad promedio de 50 millas por hora. Si la suma de sus tiempos de recorrido es igual a 11.4 horas, y si la suma de las distancias recorridas es igual a 690 millas, determine el tiempo que cada una de ellas necesito para llegar a casa.
Mathematics
1 answer:
kari74 [83]3 years ago
8 0

Answer:

Sabrina necesito 8 horas para llegar a su casa mientras que Diana necesito solo 3.4 horas.

Step-by-step explanation:

debemos resolver la siguientes equaciones:

A + B = 11.4

65A + 50B = 690

donde:

A = tiempo que le toma a Sabrina llegar a su casa

B = tiempo que le toma a Diana llegar a su casa

A = 11.4 - B

65 (11.4 - B) + 50B = 690

741 - 65B + 50B = 690

741 - 690 = 65B - 50B

51 = 15B

B = 51 / 15 = 3.4 horas

A = 11.4 - 3.4 = 8 horas

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