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Herbert and Samantha are both driving from Orlando to Miami. Herbert leaves at 9:00 and averages 60 mph (miles per hour) on the way. Samantha leaves at 9:10 and averages 65 mph on the way. The situation is modeled by this system, where x is the number of hours after Samantha leaves and yis the distance each will travel: y = 60x + 10 y = 65x How long after Samantha leaves will she pass Herbert, and how far will they each have traveled?​

Herbert and Samantha are both driving from Orlando to Miami Herbert leaves at 900 and averages 60 mph miles per hour on the way Samantha leaves at 910 and avera class=

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mhanifa

Answer:

  • Option B

Step-by-step explanation:

At the point they meet, they both travel same distance.

Make the equations same and solve for x:

  • 60x + 10 = 65x
  • 65x - 60x = 10
  • 5x = 10
  • x = 2

They will meet after 2 hours.

The distance traveled at the time is:

  • 65*2 = 130 miles

Correct choice is B

chetankachana

Answer:

Option B

Step-by-step explanation:

We first set the two equations equal to each other.

y = 60x + 10

y = 65x

Equal Values Method:

y = y, so:

60x + 10 = 65x

Solve:

  • 60x + 10 = 65x
  • 10 = 5x
  • x = 2

We can input 2 into either of the original equations

  • y = 60x + 10
  • y = 60(2) + 10
  • y = 120 + 10
  • y = 130

The correct option is [tex]\boxed{\text{B}}[/tex]

-Chetan K

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