SOLUTION: plane travels 175 miles with the wind in the same amount of time it flew 150 miles against the wind. what was the speed of the plane in the still air if the wind was blowing at 20

Question 372402: plane travels 175 miles with the wind in the same amount of time it flew 150 miles against the wind. what was the speed of the plane in the still air if the wind was blowing at 20 mph?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
plane travels 175 miles with the wind in the same amount of time it flew 150 miles against the wind. what was the speed of the plane in the still air if the wind was blowing at 20 mph?
..
let speed of plane in still air be x mph
wind speed = 20 mph
..
speed with wind = x+20: d=175 miles
against wind speed = x-20: d= 150 miles
...
175/(x+20)=150(x-20)
175(x-20)=150(x+20)
175x-3500=150x+3000
reorganise
25x=6500
/25
x=6500/25
x=260 mph speed of plane in still air
...
m.ananth@hotmail.ca
RELATED QUESTIONS
A plane has a cruising speed of 150 miles per hour when there is no wind. At this speed,... (answered by KMST)

A plane has a cruising speed of 150 mph when there is no wind. At this speed, the plane... (answered by josgarithmetic,ikleyn,MathTherapy)

A plane has a cruising speed of 200 miles per hour when there is no wind. At this speed,... (answered by jorel555)

with no wind blowing, a plane travels at 240 mph. if a plane travels 810 miles with a... (answered by checkley77)

Aplane travels 250 mph in still air. The plane goes 560 miles with wind and 440 miles... (answered by lwsshak3)

A plane has a cruising speed of 200 miles per hour when there is no wind. At this speed,... (answered by Alan3354)

A plane has a cruising speed of 300 miles per hour when there is no wind. At this speed, (answered by macston)

A plane has a cruising speed of 200 miles per hour when there is no wind. At this... (answered by lwsshak3)

A plane has a cruising speed of 300 miles per hour when there is no wind. At this speed,... (answered by stanbon,lwsshak3)