Question

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.

Answer 1

10 3/5 + 12 1/2 =
10 6/10 + 12 5/10 =
23 1/10 =
35 - 23 1/10 =
11 9/10 =
11 9/10 miles
Hope that helps

Answer 2

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.