SOLUTION: fran works due north of home her husband ben works due east they leave for work at the same time by the time alice is 5 miles from home the distance between them is one mile more t
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-> SOLUTION: fran works due north of home her husband ben works due east they leave for work at the same time by the time alice is 5 miles from home the distance between them is one mile more t
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Question 628708: fran works due north of home her husband ben works due east they leave for work at the same time by the time alice is 5 miles from home the distance between them is one mile more than ralphs distance from home . how far from home is ralph? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Assuming that Fran & Alice are the same person
;
Fran works due north of home
Ben works due east
they leave for work at the same time
by the time Alice is 5 miles from home the distance between them is one mile
more than Ralph distance from home
how far from home is Ralph?
:
Let r = Ralph's distance from home
then
(r+1) = Distance between Ralph and Fran/Alice
:
A right triangle problem a^2 + b^2 = c^2
5^2 + r^2 = (r+1)^2
25 + r^2 = r^2 + 2r + 1
25 - 1 = r^2 - r^2 + 2r
24 = 2r
r = 24/2
r = 12 mi is Ralph's distance from home when Fran/Alice is 13 mi from him
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Check this on a calc: enter
