algebra
posted by john
It takes Maggie 20 min to drive to work in the morning. She drives home using the same route, but it takes 13 min longer, and she averages 8 mi/h less than in the morning. How far does Maggie drive to work?

Reiny
Important information: the distance is the same each way
rate in the morning  x mph
rate going home  x  8 mph
D = R x T
in the morning : D = (20/60)x
going home : D = (33/60)(x8)
(20/60)x = (33/60)(x8) , multiply both sides by 60
20x = 33x  264
13x = 264
x = 264/13 mph
so her distance = D = (20/60)(264/13) = 88/13 miles
or appr 6.77 miles
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