SOLUTION: Rosa works due north of home. Her husband Alan works due East. They leave for work at the same time. By the time Rosa is 3 miles from home, the distance between them is one mile mo

Question 1002409: Rosa works due north of home. Her husband Alan works due East. They leave for work at the same time. By the time Rosa is 3 miles from home, the distance between them is one mile more than Alan's distance from home. How far from home is Alan?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Rosa works due north of home. Her husband Alan works due East.
They leave for work at the same time.
By the time Rosa is 3 miles from home, the distance between them is one mile more than Alan's distance from home.
How far from home is Alan?
:
This is a Pythagoras problem. the distance between them is the hypotenuse
a^2 + b^2 = c^2
:
a = Alan's distance from home
b = 3 mi
c = (a+1); one more mile than Alan's dist
:
a^2 + 3^2 = (a+1)^2
FOIL (a+1)(a+1)
a^2 + 9 = a^2 + 2a + 1
a^2 - a^2 + 9 - 1 = 2a
8 = 2a
a = 4 mi is Alan from home
:
:
Check 4^2 + 3^2 = 5^2
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