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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.

User Shehabic
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Answer:


2\; x miles.

Explanation:

What's the speed of car B?


v_B = v_a + x = 45 + x miles per hour.

How far does each car travel in two hours?


s = v \cdot t.


  • s_A = v_A \cdot t = 2 * 45 = 90 miles.

  • s_B = v_B \cdot t = 2 * (45 + x) = 90 + 2\;x miles.

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


s_B - s_A = (90 + 2 \; x) - 90 = 90 - 90 + 2\; x = 2 \; x miles.

User Jose CC
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