SOLUTION: Stacy works due north of home. Her husband, Sam works due east. They leave for work at the same time. By the time Stacy is 7 miles from home, the distance between Stacy and Sam is

Question 398907: Stacy works due north of home. Her husband, Sam works due east. They leave for work at the same time. By the time Stacy is 7 miles from home, the distance between Stacy and Sam is 1 mile more than Sam's distance from home. How far from home is Sam.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Stacy works due north of home. Her husband, Sam works due east.
They leave for work at the same time.
By the time Stacy is 7 miles from home, the distance between Stacy and Sam is
1 mile more than Sam's distance from home.
How far from home is Sam.
:
This is a pythag problem: a^2 + b^2 = c^2; b=7
:
Let x = Sam's distance from home (a)
then
(x+1) = Sam's distance from Stacy (c)
:
x^2 + 7^2 = (x+1)^2
FOIL (x+1)(x+1)
x^2 + 49 = x^2 + 2x + 1
x^2 - x^2 + 49 - 1 = 2x
48 = 2x
x = 24 mi is Sam's dist from home
:
:
Check this on calc
= 25 which Sam's distance from Stacy

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