SOLUTION: If I travel for one hour from my house to my friend's house at a rate of 9mph on flat ground, 6mph when the terrain is uphill and 18mph when the terrain is downhill, how many miles
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-> SOLUTION: If I travel for one hour from my house to my friend's house at a rate of 9mph on flat ground, 6mph when the terrain is uphill and 18mph when the terrain is downhill, how many miles
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Question 186895: If I travel for one hour from my house to my friend's house at a rate of 9mph on flat ground, 6mph when the terrain is uphill and 18mph when the terrain is downhill, how many miles is it from my house to my friend's house? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! It's not real clear, but I assume the whole trip
takes 1 hr.
Let = time for the portion on flat ground
Let = distance for the portion on flat ground
Let = time for uphill portion
Let = distance for the uphill portion
Let = time for downhill portion
Let = distance for the downhill portion
given:
(1) hr
(2)
(3)
(4)
--------------------
What I need to find is
Rewrite (2),(3) and (4) like this:
(2)
(3)
(4)
Add the 3 equations
Write the left side with as denominators
If ,
and ,
The left side is mi
It is 11 miles between houses
check answer:
(2)
(2)
(3)
(3)
(4)
(4)
(1) hr
(1) hr
