Two Planets Leave At The Same Time.one Files West At 440 Km Per Hour. The Other Fl…

two planets leave at the same time.one files west at 440 km per hour. the other flies east at 465 km per hour.in how many hours will they be 5225 kilometers apart?​

[tex] \Large \text {Answer:} [/tex]

[tex] \boxed {\text{Approx.}\:5.77\: \text{hours}} [/tex]

[tex] \Large \text {Step-by-step explanation:} [/tex]

Given that the two planets leave in opposite directions at the same time and assuming that they also leave at the same place, the sum of the distances they travelled after [tex]t[/tex] hrs is also their distance to each other.

[tex] \text{Equation:}\: 440t + 465t = 5225 [/tex]

[tex] \text{Solving for }t,[/tex]

[tex] 905t = 5225 [/tex]

[tex] \quad \: t = \dfrac {5225}{905} [/tex]

[tex] \quad \: t \approx 5.77\: \text{hours} [/tex]

[tex] \text \color{yellow} {\#CarryOnLearning} [/tex]

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