i am on sets of equations. this is my word problem. computing wind speed.

the average airspeed of a plane is 150 mph. the plane flew same distance in 2 hours with the wind as it flew in 3 hours against the wind. what is the wind speed?

Question

i am on sets of equations.  this is my word problem.  computing wind speed.

the average airspeed of a plane is 150 mph.  the plane flew same distance in 2 hours with the wind as it flew in 3 hours against the wind.  what is the wind speed?

anonymous · Answer

V_plane=150mph;
(V_plane+V_wind)*2=(V_plane-V_wind)*3
=> V_plane=5*V_wind
=> V_wind=V_plane/5=30MPH