SOLUTION: On a day when the wind speed is 25 miles per hour, a plane can travel 682mi with the wind in the same amount of time that it can travel 572 miles against the wind. find the speed o

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Question 1027316: On a day when the wind speed is 25 miles per hour, a plane can travel 682mi with the wind in the same amount of time that it can travel 572 miles against the wind. find the speed of the plane with no wind.
Found 2 solutions by josgarithmetic, mananth:
Answer by josgarithmetic(39799) About Me  (Show Source):
You can put this solution on YOUR website!
These should help you analyze and solve this problem:

travel rates involving wind

travel rates, round trip distance

Those might not fit your example type perfectly but you should be able to figure how to make adjustments in what is needed.

Answer by mananth(16949) About Me  (Show Source):
You can put this solution on YOUR website!
Plane speed x mph
wind speed 25 mph
..
against wind x - 25 mph
with wind x + 25 mph

Distance against wind 572
Distance with wind 682
Time = same equate the time against with time with current
t=d/r
572 /(x- 25 )= 682 /(x+ 25 )
572 *(x+ 25 )= 682 *(x- 25 )
572 x + 14300 = 682 x -17050
572 x -682 x = -17050 + -14300
-110 x = -31350
/ -110
x= 285 mph
m.ananth@hotmail.ca