A plane made a flight with the wind between 2 towns in 2 hou

A plane made a flight with the wind between 2 towns in 2 hours. Returning against the wind, the planes speed was 60 mph slower and the flight took 3 hours. What was the planes speed in each direction ?

Solution

With the wind DATA:
distance = d; rate=r ; time= d/r = d/r=2 hrs.
Against the wind DATA:
distance = d; rate=r-60; time=d/r = d/(r-60)=3 hrs.
EQUATION:
d=2r
d=3(r-60)
Therefore 2r=3(r-60)
2r=3r-180
-r=-180
r=180 mph (with the wind rate)
r-60=120 mph (against the wind rate)