SOLUTION: a plane on a search mission flew east from an airport, turned , and flew west back to the airport. the plane cruised at 200 km/h when flying east and 300 kn/h when flying west. if

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Question 351963: a plane on a search mission flew east from an airport, turned , and flew west back to the airport. the plane cruised at 200 km/h when flying east and 300 kn/h when flying west. if the plane was in the air for 6 hours, how far from the airport did it travel?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
R%2At=D
East:
1.200%2At%5Be%5D=D
West:
2.300%2At%5Bw%5D=D
Total time:
3.t%5Be%5D%2Bt%5Bw%5D=6
From eq. 1,
t%5Be%5D=D%2F200
From eq. 2,
t%5Bw%5D=D%2F300
Substitute into eq. 3,
D%2F200%2BD%2F300=6
300D%2B200D=6%28300%29%28200%29
500D=6%28300%29%28200%29
D=6%28300%29%282%2F5%29
highlight%28D=720%29 km