SOLUTION: With a head wind, a plane traveled 1000 miles in 4 hours. With the same wind as a tail wind, the return trip took 3 hours 20 minutes. Find the plane's air speed and the wind speed.

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Question 55635: With a head wind, a plane traveled 1000 miles in 4 hours. With the same wind as a tail wind, the return trip took 3 hours 20 minutes. Find the plane's air speed and the wind speed.
Answer by venugopalramana(3286) About Me  (Show Source):
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With a head wind, a plane traveled 1000 miles in 4 hours. With the same wind as a tail wind, the return trip took 3 hours 20 minutes. Find the plane's air speed( P SAY ) and the wind speed ( W SAY)
LET DISTANCE TRAVELLED = 1000 MILES
RELATIVE SPEED WHILE GOING HEAD WIND = P-W MPH
TIME NEEDED = T = D/R.S = 1000/(P-W) = 4
P-W=250.................1
R.S. WHILE GOING TAIL WIND = P+W
TIME NEEDED = 1000/(P+W)=3 HRS 20 MTS = 3+20/60 = 10/3 HRS
P+W =300.......................2
EQN.1+EQN.2
2P=550
P=275 MPH
W = 300-275 = 25 MPH