SOLUTION: Can someone help me on this problem? I need to solve the following word problem. I also need to show the equation you use for the solution. A bicyclist rode into the cou

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Question 53711: Can someone help me on this problem?
I need to solve the following word problem. I also need to show the equation you use for the solution.
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?
Thanks,
Ashley
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
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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Riding-Out DATA:
time=5 hr. ; rate = x mph ; distance=5x miles
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Riding-Back DATA:
time=4 hr. ; rate= x+5 mph ; distance=rt = 4(x+5)=4x+20 miles
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EQUATION:
distace out = distance back
5x = 4x+20
x=20 mph (speed on the way out)
x+5=25 mph (speed on the way back)
Cheers,
Stan H.