SOLUTION: when blake drives to work on the highway, he averages 45mph. when he uses the local roads he averages 36mph. the trip on the local roads is 3 mi shorter and takes 5 more minutes th

Question 893133: when blake drives to work on the highway, he averages 45mph. when he uses the local roads he averages 36mph. the trip on the local roads is 3 mi shorter and takes 5 more minutes than the highway trip. how many miles long is the highway trip?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the distance in miles he drives on highway
Let = time in hours he spends on highway
--------------------------------------------
Now convert minutes to hours
( minutes ) x ( hours / minute )
hrs
--------------------------
Equation for driving on highway:
(1)
Equation for driving on local roads:
(2)
(2)
(2)
--------------------
Substitute (1) into (2)
(2)
(2)
(2) hrs
and, since
(1)
(1)
(1)
He drove 30 highway miles
-------------------------
check:
(2)
(2)
(2)
(2)
(2)
(2)
OK

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