Michael P. answered • 02/22/18

Tutor

New to Wyzant
Quick Answers to Math, Chemistry, and Physics Problems

Let velP = velocity of plane in still air

velW = velocity of wind

velocity of plane with the wind = velP + velW = 460 mph or velP = 460 - velW

velocity of plane against the wind = velP - velW = 40 mph

substituting top equation into bottom equation and solving for velW:

460 - velW - velW = 40 (combine like terms)

460 - 40 = 2*velW

or rearrange 2*velW = 460 -40 = 420

velW = 420/2 = 210 mph

velP = 460 - velW = 460 - 210 = 250 mph velocity of plane in still air