SOLUTION: A pilot can travel 396 miles with the same amount of time as 324 miles against the wind. Find the speed of the wind if the pilot's speed in still air is 170 miles per hour.
Algebra.Com
Question 1022590: A pilot can travel 396 miles with the same amount of time as 324 miles against the wind. Find the speed of the wind if the pilot's speed in still air is 170 miles per hour.
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Call the rate of the wind, w.
Since rate times time equals distance, we can write
396 = (170+w)t and
324 = (170-w)t
Now solve for t and set them equal...we get
Then cross multiply and solve for w...
396(170-w) = 324(170+w)
67320 - 396w = 55080 + 324w
12240 = 720w
w = 17 mph
RELATED QUESTIONS
a pilot can travel 396 miles with the wind in the same amount of time as 324 miles... (answered by ewatrrr)
A pilot can travel 396 miles with the same amount of time as 324 miles against the wind.... (answered by jorel555)
a pilot can travel 363miles with the wind in the same amount of time as 297 miles against (answered by mananth)
A pilot can travel 580 miles with the wind in the same amount of time as 380 miles... (answered by jorel1380)
A pilot can travel 560 miles with the wind in the same amount of time as 360 miles... (answered by Schaman_Dempster)
a pilot can travel 500 miles with the wind in the same amount of time as 300 miles... (answered by lwsshak3)
A pilot can travel 400 miles with the wind in the same amount of time as 336 miles... (answered by lwsshak3)
A pilot can travel 540 miles with the wind in the same amount of time as 380 miles... (answered by ankor@dixie-net.com)
A pilot can travel 448 miles with the wind in the same amount of time as 368 miles... (answered by josgarithmetic,ikleyn)