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Car A travels at 45 miles per hour and Car B travels at a greater speed of x miles per hour. Right and simplify an expression that represents how many miles further Cardi B travels in two hours.

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jacob193

Answer:

[tex]2\; x[/tex] miles.

Step-by-step explanation:

What's the speed of car B?

[tex]v_B = v_a + x = 45 + x[/tex] miles per hour.

How far does each car travel in two hours?

[tex]s = v \cdot t[/tex].

  • [tex]s_A = v_A \cdot t = 2 \times 45 = 90[/tex] miles.
  • [tex]s_B = v_B \cdot t = 2 \times (45 + x) = 90 + 2\;x[/tex] miles.

How many miles further does car B travel in two hours than car A?

[tex]s_B - s_A = (90 + 2 \; x) - 90 = 90 - 90 + 2\; x = 2 \; x[/tex] miles.

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