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?

Answers

Answer 1

Answer: see the picture attached to better understand the problem

Let
x----------> The distance from Chester to Durbin

we know that
$10 (3)/(5) = ((10*5+3))/(5) \n \n = (53)/(5) miles$

$12 (1)/(2) = ((12*2+1))/(2) \n \n = (25)/(2) miles$

$10 (3)/(5) +12 (1)/(2) +x=35$
subtitute

$(53)/(5) + (25)/(2) +x=35$

solve for x

$x=35-( (53)/(5)+ (25)/(2) ) \n \n x=35- ((2*53+5*25))/(10) \n \n x=35- (231)/(10) \n \n x=35-23.10 \n \n x=11.9$

$x=11 (9)/(10)$ miles

the answer is
$11 (9)/(10)$ miles

Answer 2

Answer:

Answer:

Durbin is $11(9)/(10)\:miles$ far from Chester.

Step-by-step explanation:

Distance Between Alston and Barton = $10(3)/(5)\:miles$

Distance Between Barton and Chester = $12(1)/(2)\:miles$

Distance Between Alston and Durbin = $35\:miles$

Distance between Chester and Durbin = $35-10(3)/(5)-12(1)/(2)$

= $35-(53)/(5)-(25)/(2)$

= $(350-106-125)/(10)$

= $(119)/(10)$

= $11(9)/(10)\:miles$

Therefore, Durbin is $11(9)/(10)\:miles$ far from Chester.

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Answers

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Answers

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