SOLUTION: Rita rode her bicycle out into the country at a speed of 20 mph and returned along the same route at 15 mph. If the round trip took 5 hours and 50 minutes, how far out did she ride

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Rita rode her bicycle out into the country at a speed of 20 mph and returned along the same route at 15 mph. If the round trip took 5 hours and 50 minutes, how far out did she ride      Log On


   

Question 128776This question is from textbook College Alegra
: Rita rode her bicycle out into the country at a speed of 20 mph and returned along the same route at 15 mph. If the round trip took 5 hours and 50 minutes, how far out did she ride? This question is from textbook College Alegra

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
X/20+X/15=5 5/6
(15X+20X)/20*15=35/6
35X/300=35/6 NOW CROSS MULTIPLY.
6*35X=35*300
210X=10,500
X=10,500/210
X=50 MILES IS THE DISTANCE RITA ROAD INTO THE COUNTRY.
PROOF:
50/20+50/15=35/6
(50*15+50*20)/300=35/6
(750+1000)/300=35/6
1,750/300=35/6 NOW CROSS MULTIPLY
1,750*6=300*35
10,500=10,500