SOLUTION: A small jet can fly 1024 miles from city A to city B in 4 hours with the wind return in 8 hours against the wind. What is the speed of the wind? A. 48 mph B. 80 mph C. 96

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Question 428649: A small jet can fly 1024 miles from city A to city B in 4 hours with the wind return in 8 hours against the wind. What is the speed of the wind?
A. 48 mph
B. 80 mph
C. 96 mph
D. 64 mph

Found 2 solutions by shree840, ewatrrr:
Answer by shree840(260) (Show Source):
You can put this solution on YOUR website!
jet speed x
wind velocity y
going speed =x+y
returning speed =x-y
1024/(x+y)=4
or 4(x+y)=1024
x+y=256
return 1024/(x-y)=8
8(x-y)=1024
x-y=128
x+y=256
--------
2x=384
x=192
y=256-192=64 ANS

Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website!

Hi
Let x and w represent the jet and wind speed respectively
D = r*t or
4(x+w) = 1024
8(x-w) = 1024

x+w = 1024/4 = 256
x-w = 1024/8 = 128
2x = 384
x = 192, the jet speed, the wind speed is 64
4* 256 = 1024
8* 128 = 1024