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it is 10 3\5 miles from Alston to Barton and 12 1/2 from Barton to Chester.the distance from Alston to Durban,via BARTON and Chester,is 35 miles.how far is it from Chester to Durban.

Sagot :

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.


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