Question

Its 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

It is
`11(9)/(10)` miles far from Chester to Durbin.

Explanation:

Given:

Its 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.

Now, to find the distance from Chester to durbin.

Distance from Alston to Barton =
`10(3)/(5) =(53)/(5) \ miles.`

Distance from Barton to Chester =
`12(1)/(2)\ miles =(25)/(2) \ miles.`

As, given the distance from Alston to Durbin, via barton and Chester, is 35 miles.

Thus, the total distance = 35 miles.

So, we add the distance of Alston to Barton and Barton to Chester and get the distance from Alston to Chester:

`(53)/(5) +(25)/(2)`

`=(106+125)/(10)`

`=(231)/(10) \ miles.`

Distance from Alston to Chester
`=(231)/(10) \ miles.`

Now, to get the distance from Chester to durbin we subtract distance from Alston to Chester from the total distance:

`35-(231)/(10) \\\\=(350-231)/(10) \\\\=(119)/(10) \\\\=11(9)/(10)\ miles.`

Therefore, it is
`11(9)/(10)` miles far from Chester to Durbin.