SOLUTION: Landon can climb a hill at a rate that is 2.5 mph slower than his rate coming down the hill. If it takes him 6 hours to climb the hill and 135 minutes to come down the hill what is

Question 1070756: Landon can climb a hill at a rate that is 2.5 mph slower than his rate coming down the hill. If it takes him 6 hours to climb the hill and 135 minutes to come down the hill what is his rate coming down?
Thank you for the help!
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Convert 135 min to hrs:

Let = the one-way distance up the hill
Let = his rate coming down the hill
= his rate going up the hill
--------------------------------------------
Going up the hill:
(1)
Going down the hill:
(2)
------------------------
Substitute (2) into (1)
(1)
(1)
(1)
(1)
------------------------
His rate coming down the hill is 4 mi/hr
---------------------------------------
check:
(2)
(2)
(2) mi
and
(1)
(1)
(1)
(1) mi
OK

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