A certain car uses one gallon of gasoline every 40 miles when it travels on highway, and one gallon ...

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A certain car uses one gallon of gasoline every miles when it travels on highway, and one gallon of gasoline every miles when it travels in the city. When a car travels miles on highway and additional miles in the city, it uses what percent more gasoline than if it travels miles on the highway?

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Calculated Answer

50

Step by Step Solution

In order to solve problem, you must evaluate (n₂ * 1 / n₁ + n₂ * 1 / n₀ - n₄ * 1 / n₀) / (n₄ * 1 / n₀) * 100.

• (n₂ * 1 / n₁ + n₂ * 1 / n₀ - n₄ * 1 / n₀) / (n₄ * 1 / n₀) * 100

• Evaluate 1 / n₁ = 0.05

  (n₂ * 0.05 + n₂ * 1 / n₀ - n₄ * 1 / n₀) / (n₄ * 1 / n₀) * 100

• Evaluate n₂ * 0.05 = 0.2

  (0.2 + n₂ * 1 / n₀ - n₄ * 1 / n₀) / (n₄ * 1 / n₀) * 100

• Evaluate 1 / n₀ = 0.025

  (0.2 + n₂ * 0.025 - n₄ * 1 / n₀) / (n₄ * 1 / n₀) * 100

• Evaluate n₂ * 0.025 = 0.1

  (0.2 + 0.1 - n₄ * 1 / n₀) / (n₄ * 1 / n₀) * 100

• Evaluate 0.2 + 0.1 = 0.3

  (0.3 - n₄ * 1 / n₀) / (n₄ * 1 / n₀) * 100

• Evaluate 1 / n₀ = 0.025

  (0.3 - n₄ * 0.025) / (n₄ * 1 / n₀) * 100

• Evaluate n₄ * 0.025 = 0.2

  (0.3 - 0.2) / (n₄ * 1 / n₀) * 100

• Evaluate 0.3 - 0.2 = 0.1

  0.1 / (n₄ * 1 / n₀) * 100

• Evaluate 1 / n₀ = 0.025

  0.1 / (n₄ * 0.025) * 100

• Evaluate n₄ * 0.025 = 0.2

  0.1 / 0.2 * 100

• Evaluate 0.1 / 0.2 = 0.5

  0.5 * 100

• Evaluate 0.5 * 100 = 50

  50
• The answer to the problem and the result of (n₂ * 1 / n₁ + n₂ * 1 / n₀ - n₄ * 1 / n₀) / (n₄ * 1 / n₀) * 100 is 50