SOLUTION: A plane with a tail wind makes its 785-mile flight in 2.5 hours. The return flight against the wind takes a half hour longer. What is the wind speed (rounded to the nearest mile

Algebra ->  Probability-and-statistics -> SOLUTION: A plane with a tail wind makes its 785-mile flight in 2.5 hours. The return flight against the wind takes a half hour longer. What is the wind speed (rounded to the nearest mile       Log On


   



Question 316822: A plane with a tail wind makes its 785-mile flight in 2.5 hours. The return flight against the wind takes a half hour longer. What is the wind speed (rounded to the nearest mile per hour)?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
.
.
.
Let P be the plane speed in still air, W be the wind speed.
With the wind,
%28P%2BW%29%2A2.5=785
1.P%2BW=314
.
.
.
Against the wind,
%28P-W%29%2A3=785
2.P-W=785%2F3
Add eq.1 to eq. 2,
P%2BW%2BP-W=314%2B785%2F3
2P=942%2F3%2B785%2F3
2P=1727%2F3
P=1727%2F6
Then use either equation to solve for W.
1727%2F6%2BW=314
W=1884%2F6-1727%2F6
W=157%2F6 or approximately,
highlight%28W=26%29 mph