at maximum speed, an airplane travels 2100 miles against the wind in 6 hours. flying with the wind, the plane can travel he same distance in 4 hours. what is the speed of the plane with no wind?

Question

at maximum speed, an airplane travels 2100 miles against the wind in 6 hours.  flying with the wind, the plane can travel he same distance in 4 hours. what is the speed of the plane with no wind?

anonymous · Answer

help please

anonymous · Answer

Recall that d=rt, so 2100=6(v-w)=4(v+w).  A little algebra will give us a system of equations

v-w=350
v+w=525

Solve this system to get v and w (speed of the jet and speed of the wind).

anonymous · Answer

I get about 438 for the speed of the airplane, and a wind speed of about 88.  Both those numbers are rounded off.