SOLUTION: A plane can fly at a rate of 150 miles per hour in calm air. Traveling with the wind, the plane flew 700 miles in the same amount of time it took to fly 500 miles against the wind.

Question 814679: A plane can fly at a rate of 150 miles per hour in calm air. Traveling with the wind, the plane flew 700 miles in the same amount of time it took to fly 500 miles against the wind. Find the rate of the wind.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
s = d / t
t = d / s
---
p = 150 mph
---
t = 700 / (p + w)
t = 500 / (p - w)
---
700/(p + w) = 500/(p - w)
700/(p + w) - 500/(p - w) = 0
700(p - w)/(p + w)(p - w) - 500(p + w)/(p + w)(p - w) = 0
700(p - w)/(22500 - ww) - 500(p + w)/(22500 - ww) = 0
( 700(p - w) - 500(p + w) )/(22500 - ww) = 0
700(p - w) - 500(p + w) = 0(22500 - ww)
700p - 700w - 500p - 500w = 0
200p - 1200w = 0
30000 - 1200w = 0
30000 = 1200w
---
w = 25 mph
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Convert fractions, decimals, and percents:
https://sooeet.com/math/fraction-decimal-percent.php
---
Calculate and graph the linear regression of any data set:
https://sooeet.com/math/linear-regression.php
RELATED QUESTIONS
A plane can fly at a rate of 150 mph in calm air. Traveling with the wind, the plane flew (answered by mananth)

A plane can fly at a rate of 215 mph in calm air. Traveling with the wind the plane flew (answered by ikleyn,josgarithmetic)

A plane can fly at a rate of 215 mph in calm air. Traveling with the wind, the plane flew (answered by lwsshak3)

A Jet can travel at a rate or 525 miles per hour in calm air. Traveling with the wind,... (answered by stanbon,Earlsdon)

Flying with the wind, a plane can fly 800 miles in 2 hours. Against the wind the plane... (answered by Alan3354)

flying with the wind, a plane flew 420 miles in 3 hour. Against the wind, the plane could (answered by Alan3354)

How do i set this up? A plane can fly at a rate of 215 mph in still air. Traveling... (answered by mananth)

A jet plane flying with the wind flew 2400 miles in 4 hours. Against the wind, the plane... (answered by rapaljer,mananth,Alan3354)

Flying with the wind, a plane flew 960 mi in 4 h. Against the wind, the plane required 6... (answered by Alan3354)