Respuesta :

Answer:

  • 45 miles

Explanation:

The distance driven is directly proportional to the time:

  • distance / time = K

Which can also be written as:

  • distance₁ / time₁ = distance₂ / time₂

Here you have:

  • distance₁ =75 miles
  • time₁ = 1 + 2/3  hours = (3 + 2) / 3 hours = 5/3 hours
  • distance₂ = x
  • time₂ = 1 hour

With that you can set up a proportion:

  • 75 miles / (5/3) hour = x₂ / 1 hour

Solving for x₂ you get:

  • x₂ = [75 miles] × 1 hour / (5/3 hour) = 3 × 75 / 5 miles = 45 miles