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Answer:
Distance from Chester to Dublin is [tex]11\frac{9}{10}[/tex] miles
Step-by-step explanation:
Given :
Distance from Alston to Barton (A to B)= [tex]10\frac{3}{5}=\frac{53}{5}[/tex] miles
Distance from Barton to Chester (B to C)= [tex]12\frac{1}{2}=\frac{25}{2}[/tex] miles
Distance from Alston to Dublin via Barton and Chester(A to D) = 35 miles
Let the distance from Chester to Durban(C to D) = x
Refer the attached figure.
Therefore,
Total distance(A to D)= distance (A to B)+distance (B to C)+distance (C to D)
Putting values , we get
[tex]35=\frac{53}{5}+\frac{25}{2}+x[/tex]
[tex]35-\frac{53}{5}-\frac{25}{2}=x[/tex]
[tex]35-10.6-12.5=x[/tex]
[tex]11.9=x[/tex]
or [tex]x=11\frac{9}{10}[/tex]
Distance from Chester to Dublin is [tex]11\frac{9}{10}[/tex] miles.
