# SOLUTION: A cyclist traveled at a rate of 24 mph to visit a nearby town. The cyclist averaged 18 mph on the return trip. If the round trip took 4.9 hours, find the distance to the nearby t

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A cyclist traveled at a rate of 24 mph to visit a nearby town. The cyclist averaged 18 mph on the return trip. If the round trip took 4.9 hours, find the distance to the nearby t      Log On

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 Question 121162: A cyclist traveled at a rate of 24 mph to visit a nearby town. The cyclist averaged 18 mph on the return trip. If the round trip took 4.9 hours, find the distance to the nearby town? [I need the correct college algebra equation of the form D = rt]Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!D=RT SEEING AS THE DISTANCES ARE THE SAME WE HAVE: 24X=18(4.9-X) 24X=88.2-18X 24X+18X=88.2 42X=88.2 X=88.2/42 X=2.1 HOURS FOR THE 24 MPH TRIP. 4.9-2.1=2.8 HOURS FOR THE 18 MPH TRIP. PROOF 24*2.1=18*2.8 50.4=50.4 THEREFORE THE DISTANCE TO THE NEARBY TOWN IS 50.4 MILES.