# algebra

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An airplane encountered a head wind during a flight between Rontown and Sawburgh which took 4 hours and 24 minutes. The return flight took 4 hours. If the distance from Rontown to Sawburgh is 1700 miles, find the airspeed of the plane (the speed of the plane in still air) and the speed of the wind, assuming both remain constant.

• algebra -

assuming the plane flies at speed p, and the wind at speed w,

4.4(s-w) = 4(s+w)
4.4s - 4.4w = 4s + 4w
.4s = 8.4w
s = 21w

4*22w = 1700
w = 19.318
s = 405.68

check:
4.4*386.36 = 1700
4*425 = 1700

• algebra -

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