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?

Question 65957: 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?
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?
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?
---------
"Into the country" DATA:
Time = 5 hr ; Rate = x mph ; distance = 5x miles
---------------
Return trip DATA:
Time = 4 hr ; Rate = x+5 mph ; distance = 4(x+5) miles
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EQUATION:
distance out = distance back
5x=4(x+5)
x=20 mph
--------
Speed out was 20 mph
Speed back was 25 mph
Cheers,
Stan H.
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