Answer:
405 minutes
Step-by-step explanation:
To find out how long it will take Pam to walk 27 miles at the same rate she walked 3 miles in 45 minutes, we can set up a proportion:
[tex]\dfrac{{\text{Distance}_1}}{{\text{Time}_1}} = \dfrac{{\text{Distance}_2}}{{\text{Time}_2}}[/tex]
Let's denote:
Distance₁ = 3 miles
Time₁ = 45 minutes
Distance₂ = 27 miles
Time₂ = the time we want to find
So, the proportion becomes:
[tex]\dfrac{3}{45} = \dfrac{27}{\text{Time}_2}[/tex]
Now, let's solve for Time₂:
[tex]3 \times \text{Time}_2 = 45 \times 27\\\\\text{Time}_2 = \dfrac{45 \times 27}{3}\\\\\text{Time}_2 = 15 \times 27\\\\\text{Time}_2 = 405[/tex]
So, it will take Pam 405 minutes to walk 27 miles at the same rate she walked 3 miles in 45 minutes.
