Answer:
It takes 1.5 days for the Kimball family to get to Baltimore
Step-by-step explanation:
Given:
Total distance from the home to Baltimore = [tex]27 \frac{1}{2}[/tex]
Distance they would travel on each day = [tex]18 \frac{1}{8}[/tex]
To Find:
How many days it will take the Kimball family to reach Baltimore = ?
Solution:
Lets first convert mixed fraction into fraction
[tex]27 \frac{1}{2}[/tex] = [tex]\frac{2 \times 27 + 1}{ 2}[/tex] = [tex]\frac{54+1}{2}[/tex] = [tex]\frac{55}{2}[/tex]
[tex]18\frac{1}{8}[/tex] =[tex]\frac{18 \times 8 +1 }{8}[/tex] =[tex]\frac{144+1}{8}[/tex]= [tex]\frac{145}{8}[/tex]
Now,
In one day = [tex]\frac{145}{8}[/tex]
In x day = [tex]\frac{55}{2}[/tex]
By Cross multiplication
[tex]\frac{55}{2} = x \times \frac{145}{8}[/tex]
[tex]x = \frac{55}{2} \times \frac{8}{145}[/tex]
[tex]x = \frac{220}{145}[/tex]
[tex]x = \frac{44}{29}[/tex]
x = 1.517
x = 1. 5 days