Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

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?

Sagot :

calculista
see the picture attached to better understand the problem

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

we know that
[tex]10 \frac{3}{5} = \frac{(10*5+3)}{5} \\ \\ = \frac{53}{5} miles[/tex]

[tex]12 \frac{1}{2} = \frac{(12*2+1)}{2} \\ \\ = \frac{25}{2} miles [/tex]

[tex]10 \frac{3}{5} +12 \frac{1}{2} +x=35[/tex]
subtitute

[tex] \frac{53}{5} + \frac{25}{2} +x=35[/tex]

solve for x

[tex]x=35-( \frac{53}{5}+ \frac{25}{2} ) \\ \\ x=35- \frac{(2*53+5*25)}{10} \\ \\ x=35- \frac{231}{10} \\ \\ x=35-23.10 \\ \\ x=11.9 [/tex]

[tex]x=11 \frac{9}{10}[/tex] miles

the answer is
[tex]11 \frac{9}{10} [/tex] miles


View image calculista

Answer:

Durbin is [tex]11\frac{9}{10}\:miles[/tex] far from Chester.

Step-by-step explanation:

Distance Between Alston and Barton = [tex]10\frac{3}{5}\:miles[/tex]

Distance Between Barton and Chester = [tex]12\frac{1}{2}\:miles[/tex]

Distance Between Alston and Durbin = [tex]35\:miles[/tex]

Distance between Chester and Durbin = [tex]35-10\frac{3}{5}-12\frac{1}{2}[/tex]

                                                                 = [tex]35-\frac{53}{5}-\frac{25}{2}[/tex]

                                                                 = [tex]\frac{350-106-125}{10}[/tex]

                                                                 = [tex]\frac{119}{10}[/tex]

                                                                 = [tex]11\frac{9}{10}\:miles[/tex]

Therefore, Durbin is [tex]11\frac{9}{10}\:miles[/tex] far from Chester.

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.