SOLUTION: With a tail wind, a plane flew 280 km in 30 mins. With no change in wind the return trip took 40 minutes. Find the speed of the wind and the planes's rate in still air(no wind)

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Question 935610: With a tail wind, a plane flew 280 km in 30 mins. With no change in wind the return trip took 40 minutes. Find the speed of the wind and the planes's rate in still air(no wind)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Distance = Rate * Time
.
.
With the wind,
280=%28R%2BW%29%2A30
1.R%2BW=28%2F3
.
.
.
Against the wind,
280=%28R-W%29%2A40
2.R-W=7
Add the equations together,
R%2BW%2BR-W=28%2F3%2B7
2R=28%2F3%2B21%2F3
2R=49%2F3
R=49%2F6 km%2Fmin
Then,
49%2F6-W=7
W=49%2F6-42%2F6
W=7%2F6 km%2Fmin