SOLUTION: Instructions: Solve the following word problem. Be sure to show the equation you use for the solution. (This is worded exactly from the text-book) Science and medicine category:

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Question 47552This question is from textbook Beginning Algebra
: Instructions: Solve the following word problem. Be sure to show the equation you use for the solution. (This is worded exactly from the text-book)
Science and medicine category:
A bicyclist rode into the country for 5 hours. In returning, her speed was 5mi/h faster and the trip took 4 hours. What was her speed each way?

Thank You very much for your help. I can work pretty much all algebra problems except word ones. I do not know what to do with the information given. I am a returning student to college after being out 20 years. This question is from textbook Beginning Algebra

Found 2 solutions by checkley71, stanbon:
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
5S=4(S+5) OR 5S=4S+20 OR S=20 GOING & 20+5=25 RETURNING
PROOF 5*20=4(20+5) OR 100=4*25 OR 100=100

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A bicyclist rode into the country for 5 hours. In returning, her speed was 5mi/h faster and the trip took 4 hours. What was her speed each way?
Riding out DATA:
Let time be 5 hrs.; Let rate be x mph ; Then distance = (time)(rate)=5x miles
Riding back DATA:
Time is 4 hrs. ; Rate = (x+5) mph ; Then distance = (time)(rate)=4(x+5) miles
EQUATION:
distance out = distance back
5x=4(x+5)
5x=4x+20
x=20 mph (her speed on the way out)
x+5=25 mph (her speed on the way back)
Cheers,
Stan H.