SOLUTION: A boeing 747 flies the 3000 mile distance from Los Angeles to New York, with a tail wind, in 5 hours. The return trip, against the wind, take 6 hours. Find the speed of the plane a

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Question 381395: A boeing 747 flies the 3000 mile distance from Los Angeles to New York, with a tail wind, in 5 hours. The return trip, against the wind, take 6 hours. Find the speed of the plane and the speed of the wind.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
speed of plane = p
speed of wind = w
..
tail wind speed = p+w mph
against wind speed = p-w
..
distance tailwind = 3000 miles
time = 5 hours
..
t=d/r
5=3000/(p+w)
multiply by (p+w)
5(p+w)=3000
/5
p+w = 600...................1
..
Against wind
6=3000/(p-w)
6(p-w)=3000
/6
p-w=500.....................2
..
add 1&2
2p=600+500
2p=1100
/2
p=550 mph
...
p+w = 600
550+w=600
w=50 mph
..
m.ananth@hotmail.ca