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

it will be 11.9 miles
cause A to B is 10 3/5 miles and B to C is 12 1/2 miles 
while A to D is 35 miles 
so A to B to C to D is 35 
so 10.6 +12.5+x=35
x=11.9 

Answer 2

Solution:-

Distance from Alston to Barton = 10 3/5 miles = 53/5 miles
Distance from Barton to Chester = 12 1/2 miles = 25/2 miles
Distance from Alston to Dublin via Barton and Chester = 35 miles
Distance from Chester to Dublin = {35 - (53/5 + 25/2)}
⇒ {350 - (106 + 125)}/10
⇒ (350 - 231)/10
⇒ 119/10 
⇒ 11 9/10 miles
Distance from Chester to Dublin is 11 9/10 miles.
Answer.