SOLUTION: On a particular day, the wind added 3 miles per hour to Alfonso's rate when he was cycling with the wind and subtracted 3 miles per hour from his rate on his return trip. Alfonso f

Algebra ->  Rational-functions -> SOLUTION: On a particular day, the wind added 3 miles per hour to Alfonso's rate when he was cycling with the wind and subtracted 3 miles per hour from his rate on his return trip. Alfonso f      Log On


   

Question 981961: On a particular day, the wind added 3 miles per hour to Alfonso's rate when he was cycling with the wind and subtracted 3 miles per hour from his rate on his return trip. Alfonso found that in the same amount of time he could cycle 48 miles with the wind, he could go only 30 miles against the wind.What is his normal bicycling speed with no wind?
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
Wind speed is 3 mph.
r, Alfonso's rate when no wind.
t, time for specific what he "found".

______________________speed__________time_________distance
withWind______________r+3_____________t____________48
againstWnd____________r-3_____________t____________30


Uniform Travel Rates Rule: RT=D,
T=D/R

The times for with and against wind are the same t.
highlight_green%2848%2F%28r%2B3%29=30%2F%28r-3%29%29
Solve for r.