SOLUTION: Justin starts at a point 26 miles from home and runs toward home at 6 mph. Rhonda starts from home 1.3 hours later and pedals toward Justin at 8 mph. How long has Justin been runni

Question 673552: Justin starts at a point 26 miles from home and runs toward home at 6 mph. Rhonda starts from home 1.3 hours later and pedals toward Justin at 8 mph. How long has Justin been running when he meets Rhonda? How far from home do they meet?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Justin gets a head start of
mi
They are then mi apart
----------------
Let = the distance Rhonda now has
to cover to meet Justin.
= distance Justin now has to cover
Let = the time it now takes them to meet
------------
After Justin's head start:
Justin's equation:
(1)
Rhonda's equation:
(2)
-------------
Substitute (2) into (1)
(1)
(1)
(1) hrs
and
(1)
(1)
(1)
(1)
Justin has been running for hrs
Rhonda travels mi from home
where they meet

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