SOLUTION: Floyd can walk 2mph faster than his wife, Rachel. It takes Rachel 3 hr longer than Floyd to hike a 12-mile trail through the park. Find their speeds.

Question 1056739: Floyd can walk 2mph faster than his wife, Rachel. It takes Rachel 3 hr longer than Floyd to hike a 12-mile trail through the park. Find their speeds.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Rachel's speed in mi/hr
= Floyd's speed in mi/hr
Let = Floyd's time in hrs
= Rachel's time in mi/hr
---------------------------------------
Floyd's equation:
(1)
Rachel's equation:
(2)
----------------------------
(1)
Substitute (1) into (2)
(2)
(2)
Multiply both sides by
(2)
(2)
(2)
(2)
(2)
( I can't use , since it's negative )
and

------------------
Rachel's speed is 2 mi/hr
Floyd's speed is 4 mi/hr
---------------------------
check:
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
OK

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