A bicyclist rode into the country for 5 hours In returning h

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?

Solution

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)