A commercial jet flies 1500 miles with the wind. In the same amount of time it can fly 1000 miles against the wind. The speed of the jet in still air is 550 mph.

Question

Find the speed of the wind.

Answer 1

distance = rate of speed times time

d=rt

d/r =t

time=time

1500/(550+w) = 1000/(550-w)

cross multiply

1000(550+w)= 1500(550-w)

550,000 +1000w= 825,000-1500w

2500w=275,000

w=275000/2500= 2750/25=

110 mph= wind speed

1500/660= 1000/440= time each way

150/66=100/44

= 2 3/11 hours

= about 2 hours 16 minutes 22 seconds

Answer 2