when anil drives to work on the highway he averages 45 miles per hour for the trip. when anil uses the back roads, he can only average 36 mi

when anil drives to work on the highway he averages 45 miles per hour for the trip. when anil uses the back roads, he can only average 36 miles per hours. the trip on the back roads is 3 miles shorter and takes 5 more minutes than the highway route. how many miles long is the highway route
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Guest [Entry]

"Let x = length of the highway route in miles

x - 3 = length of the back roads in miles

5 minutes (1hr/60 minutes) = 1/12 hr

(x/45miles/hr) = [(x - 3)/36miles/hr] - 1/12

36x = 45x - 135 - 135

-9x = -270

x = 30 miles The highway route is 30 miles long

30 - 3 = 27 miles and the back road is 27 miles long"