Search
Ask a question
0 0

what is the speed of the wind

Eddie is flying a jet against the wind on a 330 mile trip.  flying with the same wind speed, eddie could fly  a 550 mile trip in the same amount of time.  If Eddie's jet flies at 220 miles per hour in still air, what is the speed of the wind?   show work please
Tutors, please sign in to answer this question.

1 Answer

distance=rate*time
d=rt
let w=speed of wind
330=(220-w)*t
550=(220+w)*t
use the distributive property
330=220t-wt
550=220t+wt
add the two equations
880=440t (-wt+wt=0)
880/440=t
2 hours=t
substitute t=2 into either of the original equations
330=(220-w)*2
165=220-w
w=220-165
w=55 mph
550=(220+w)*2
275=220+w
w=55 mph
 
another solution:
330=(220-w)*t
330/(220-w)=t
550=(220+w)*t
550/(220+w)=t
330/(220-w)=550/(220+w)
cross multiply
330(220+w)=550(220-w)
72,600+330w=121,000-550w
330w+550w=121,000-72,600
880w=48,400
w=48,400/880
w=55 mph