Okay, so first you draw a picture and let x be the distance from point D to the rest stop. Then the distance from point  to the rest stop is  8 - x
You know that the length of the new trail is y + z, where y is the distance from Ancaster to the rest stop and z is the distance from Dundas to the rest stop. 
Now by the Pythagorean theorem,  y^2 = 4^2 + x^2 and  z^2 = 6^2 + (8 - x) ^2
So take square roots of these, add them, and minimize. 
Note: I am assuming the path is perfectly straight, otherwise this approach fails.
        
             
        
        
        
Answer:
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Step-by-step explanation:
somnkeunmaonuhbsib m isbniakks jjshkwhbsj iksne
 ajbsubks8 laibsyjs obsujbsk isgis8j s osjins kksuusb kbsuajoao. kwunkaohw iwhjnwkbjsjsjkwjnao oshjsklsuns
 
        
             
        
        
        
20/9 or 2 2/9  5/9 divided by 1/4 = 5/9 x 4 = 20/9
        
                    
             
        
        
        
This worker would take 200/8=25 hours, since he makes eight computers an hour and needs to spend enough time to make 200 computers. C is the correct answer.