Question

It is 10 3/5 miles from Alston to Barton and 12 1/2 miles from Barton to Chester. The distance from Alston to Durbin, via Barton and Chester, is 35 miles. How far is it from Chester to Durbin

Answer 1

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=$10\frac{3}{5} =\frac{50+3}{5} =\frac{53}{5}$

Distance from Alston to Barton = 10.6 miles

Distance from Barton to Chester = $12\frac{1}{2} =\frac{24+1}{2} =\frac{25}{2}$

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,

$\therefore\ AB=10.6\ miles$

B to C is the distance from Barton to Chester,

$\therefore\ BC=12.5\ miles$

A to is the distance from Alston to Durbin,

$\therefore\ AD=35 miles$

C to D is the distance from Chester to Durbin

$\therefore$ We have to find Distance CD=?

Now from the attached figure we can see that,

$CD=AD-AC$

$CD=AD-(AB+BC)$

$CD=35-(10.6+12.5)$

$CD=35-23.1$

$CD=11.9\ miles$

As CD is the distance from Chester to Durbin,

Therefore Chester to Durbin is 11.9 miles far.