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Victor lives in the same flat state with perfectly straight roads as Jeff the trucker (this means there are no corners whatsoever!

Victor lives in the same flat state with perfectly straight roads as Jeff the trucker (this means there are no corners whatsoever!). Victor’s school is exactly 10 miles east and 25 miles north of his house (Victor’s); Jeff’s house is directly 25 miles east of Victor’s house. Victor’s girlfriend, Sonja, lives in A-Town, 22 miles west and 10 miles south of Victor’s house. Jeff takes his truck to B-Town, which is 55 miles west and 10 miles north of his house, for maintenance. Jeff leaves home at 7:00 AM to go to the shop, and leaves the shop at 5:00 PM, traveling at an average speed of 90 mph. Victor leaves for school at 7:05 traveling at 50 mph. When he is done at school (around 5:05 PM), Victor heads to Sonja’s house at 50 mph.



Do Victor’s and Jeff’s paths cross anywhere? Where exactly do they cross? Can they crash if they don’t see each other? Who gets where first?



The one piece of information that you may find useful is Pythagoras theorem of right triangles. It says that the sum of the square of the sides of the right angle is equal to the square of the hypotenuse (the opposite side of the right angle) -- Hint: Make a sketch

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