SOLUTION: Leah went to the internet cafe traveling 20 mph and returned home traveling 10 mph. If the total trip took 6 hours, how long did Leah travel at each speed?

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Question 1046112: Leah went to the internet cafe traveling 20 mph and returned home traveling 10 mph. If the total trip took 6 hours, how long did Leah travel at each speed?

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = time in hrs going TO the cafe
= time in hrs returning FROM cafe
Let = the one-way distance to cafe
---------------------------------------
Going to cafe:
(1)
Returning from cafe:
(2)
----------------------
Plug (1) into (2)
(2)
(2)
(2)
(2) hrs
and

hrs
------------------
Leah took 2 hrs going 20 mi/hr
Leah took 4 hrs going 10 mi/hr
-----------------------------
check:
(1)
(1)
(1) mi
and
(2)
(2)
(2)
(2) mi
OK

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