SOLUTION: Science and medicine. A bicyclist rode into the country for 5 h. In returning, her speed was 5 mi/h faster and the trip took 4 h. What was her speed each way?

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Question 59386This question is from textbook
: Science and medicine. A bicyclist rode into the country for 5 h. In returning, her
speed was 5 mi/h faster and the trip took 4 h. What was her speed each way? This question is from textbook

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Science and medicine. A bicyclist rode into the country for 5 h. In returning, her
speed was 5 mi/h faster and the trip took 4 h. What was her speed each way?
The distance formula is highlight%28d=rt%29, d=distance, r=rate, and t=time.
:
The time (t) into the country is: 5
The rate into the country is: r (because we don't know it)
The distance into the country is: 5r
:
The time (t) back is: 4
The rate back is 5 more than into: r+5
The distance back is: 4(r+5)
:
In reality the distance into the country and the distance back are the same, so set the two distances equal to each other.
:
5r=4(r+5)
5r=4r+20
5r-4r=-4r+4r+20
r=20
:
Her speed into the country is: x=20 m/h
He speed back is: r+5=20+5= 25m/h
:
For fun you can now find out how far from the country she was if you wanted to.
Happy Calculating!!!