SOLUTION: An aircraft flies the wind a distance of 768km in 4 hours. It returns with the wind in 3 hours.Assuming the speeds of the wind and aircraft are the same for both journeys,find; a

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Question 1105899: An aircraft flies the wind a distance of 768km in 4 hours. It returns with the wind in 3 hours.Assuming the speeds of the wind and aircraft are the same for both journeys,find;
a)the speed of the aircraft when there is no wind.
b)the speed of the wind
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
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An aircraft flies AGAINST THE wind a distance of 768km in 4 hours. It returns with the wind in 3 hours.
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                  SPEED        TIME         DISTANCE
AGAINSTWIND       r-w           4           768
WITHWIND          r+w           3           768

system%28r-w=768%2F4%2Cr%2Bw=768%2F3%29

system%28r-w=192%2Cr%2Bw=256%29-----ready for Elimination Method

highlight%28r=224%29------speed of aircraft without any wind
and
highlight%28w=32%29------speed of wind