Word problems, flight.

Question

A flight along the US takes longer east to west than it does west to east. Assume that winds are constant in an eastward direction. When flying westward, the tailwinds increase its speed. The time for a roundtrip flight from SLC to NYC (1970 miles) is 9.75 hours. If the airplane cruses at 408 mi/hr., what is the speed of the wind? Round your answer to the nearest \displaystyle \textbf{hundredth.}hundredth.

Answer 1

1970/2/(408+w)+1970/2/(408-w)=9.75 ... solve for w, the wind speed