SOLUTION: A commercial plane has been flying for 3 hours when changing the wind decrease the plane's average speed by 30 km/h. If the entire trip of 2540 km took 5h, how far did the plane tr

Question 1151337: A commercial plane has been flying for 3 hours when changing the wind decrease the plane's average speed by 30 km/h. If the entire trip of 2540 km took 5h, how far did the plane travel before the wind changed.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
:
use the formula, rate * time = distance
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let r be the rate of the plane
:
3r +2(r-30) = 2540
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Note the plane flew at the reduced rate for (5-3) = 2 hours
:
3r +2r -60 = 2540
:
5r = 2600
:
r = 520
:
520 * 3 = 1560
:
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the plance traveled 1560 km before the wind changed
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