Homework Help: math

Posted by helpyyy on Thursday, September 23, 2010 at 7:16am.

a small plane flying into the wind takes 3 hrs 20 min to complete a flight of 960 km. Flying with the wind the same plane takes 2 h 30 min to make the trip.what is the speed of the plane? what is the speed of the wind?

can u plz finish the whole question??
with the speed,time, distance graph?

math - Reiny, Thursday, September 23, 2010 at 8:07am
plane -- x
wind -- y
960/(x-y) = 10/3 (#1)
960/(x+y) = 2.5 (#2)

#1
2.5(x+y) = 960
5x+ 5y = 1920

#2
10/3(x-y) = 960
10x+10y = 2880

2(#1)
10x + 10y = 3840
#2 : 10x-10y = 2880
add them
20x = 6720
x=336
sub back in simplest #1
5(336) + 5y = 1920
y = 48

check:
with wind: 960/(336+48) = 2.5
against: 960/(336-48) = 10/3 ... YEAH

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