An airplane travels 60 mph faster from Atlanta to Fort Lauderdale than it travels on the return trip from Fort Lauderdale to Atlanta. If it takes 2 hr from Atlanta to Fort Lauderdale and 2.5 hr for the return trip, determine the speed of each trip.

Atlanta to Fort Lauderdale = 300mph

Fort Lauderdale to Atlanta = 240mph

In this case, the plane is going for 2 trips with same distance (distance1 = distance2), but different velocity (v1 = v2+60mph). Then to answer this question, the formula would be:

distance1 = distance2

v1 * t1 = v2 * t2

v1 * 2h = v2 * 2.5h

2 (v2+60) = 2.5 v2

2.5 v2 - 2 v2 = 120

0.5 v2 = 120

v2 = 240

Then, to find v1

v1 = v2+60

v1 = 240+60=300