SOLUTION: A woman walked to the lake at a rate of 3mph and returned via a different route at a rate of 4 mph. IF the return trip took one hour less time and the RT distance was 10 miles how

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A woman walked to the lake at a rate of 3mph and returned via a different route at a rate of 4 mph. IF the return trip took one hour less time and the RT distance was 10 miles how       Log On

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Question 1033515: A woman walked to the lake at a rate of 3mph and returned via a different route at a rate of 4 mph. IF the return trip took one hour less time and the RT distance was 10 miles how long did the RT take to compete?
Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the number of hours needed to walk:
3mph(x hours)+4(x-1)hours=10 miles
3x+4x-4=10
7x=14
x=2
The woman walked 2 hours at 3mph and one hour at 4mph to make the round trip.
2(3)+4=6+4=10 miles!!!!!!!