Answer:
Distance from Chester to Dublin is \(11\frac{9}{10}\) miles
Step-by-step explanation:
Given :
Distance from Alston to Barton (A to B)= \(10\frac{3}{5}=\frac{53}{5}\) miles
Distance from Barton to Chester (B to C)= \(12\frac{1}{2}=\frac{25}{2}\) 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
\(35=\frac{53}{5}+\frac{25}{2}+x\)
\(35-\frac{53}{5}-\frac{25}{2}=x\)
\(35-10.6-12.5=x\)
\(11.9=x\)
or \(x=11\frac{9}{10}\)
Distance from Chester to Dublin is \(11\frac{9}{10}\) miles.
