Answer:
Chester to Durbin is 11.9 miles far.
Step-by-step explanation:
Please refer to the attached figure.
Given:-
Distance from Alston to Barton=[tex]10\frac{3}{5} =\frac{50+3}{5} =\frac{53}{5}[/tex]
Distance from Alston to Barton = 10.6 miles
Distance from Barton to Chester = [tex]12\frac{1}{2} =\frac{24+1}{2} =\frac{25}{2}[/tex]
Distance from Barton to Chester = 12.5 miles
Distance from Alston to Durbin = 35 miles.
To find:- Distance from Chester to Durbin = ?
Solution:-
Let Alston=A, Barton=B, Chester=C, Durbin=D.
Now from the attached figure we can see that,
A to B is the distance from Alston to Barton,
[tex]\therefore\ AB=10.6\ miles[/tex]
B to C is the distance from Barton to Chester,
[tex]\therefore\ BC=12.5\ miles[/tex]
A to is the distance from Alston to Durbin,
[tex]\therefore\ AD=35 miles[/tex]
C to D is the distance from Chester to Durbin
[tex]\therefore[/tex] We have to find Distance CD=?
Now from the attached figure we can see that,
[tex]CD=AD-AC[/tex]
[tex]CD=AD-(AB+BC)[/tex]
[tex]CD=35-(10.6+12.5)[/tex]
[tex]CD=35-23.1[/tex]
[tex]CD=11.9\ miles[/tex]
As CD is the distance from Chester to Durbin,
Therefore Chester to Durbin is 11.9 miles far.
