SOLUTION: When Blake drives to work on the highway, he averages 45 mph. When he uses the local roads he averages 36 mph. The trip on the local roads is 3 miles shorter and takes 5 more minut

Question 785523: When Blake drives to work on the highway, he averages 45 mph. When he uses the local roads he averages 36 mph. The trip on the local roads is 3 miles shorter and takes 5 more minutes than the highway trip. How many miles long is the highway trip.

Answer by xinxin(76) (Show Source): You can put this solution on YOUR website!
Let X = # of miles of local road, according to the statement an equation can be written as: X + 3 = 45 * (X/36 - 5/60). Note that 5 minutes are converted to 5/60 hours in order to match the unit mph (miles per hour).
Solve for X, get X = 27 miles. So the highway trip is 30 (=27 +3) miles long.
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