SOLUTION: An airplane travels 750 miles against the wind in 7.5 hours, and makes the return trip with the same wind in 3 hours. Find the rate of the wind. (Make sure to answer the question.

Question 124932: An airplane travels 750 miles against the wind in 7.5 hours, and makes the return trip with the same wind in 3 hours. Find the rate of the wind. (Make sure to answer the question.)((This is exactly how the problem reads.))
Thank you!
Found 3 solutions by checkley71, josmiceli, chitra:
Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!
750/7.5=100 mph for the first flight.
750/3=250 mph for the return flight.
let x be the value of the wind.
100+x=250-x
2x=250-100
2x=150
x=150/2
x=75 mph for the rate of the wind.

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let wind speed =
Let the speed of the plane in still air =
With the wind, the combined speed is
Against the wind, the combined speed is
is the general formula
The distance is the same, coming and going

hrs
hrs

Also given is the distance, 750 mi

mi / hr answer
Check answer

OK
Answer by chitra(359)   (Show Source): You can put this solution on YOUR website!
The given data is:
Distance traveled = 750 miles and

Time taken = 7.5 hours

Here lets find the speed of the plane.

Speed = distance traveled/ time taken
S = 750/7.5
S = 100 miles per hour

Now we shall calculate for the rest of the data.

Distance remains the same 750 miles

but time taken = 3 hours

Therfore Speed = dist/time

Speed = 750/3

Speed = 250 miles

Thus the solution.

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