SOLUTION: A plane traveled 1512 miles to Ankara and back. The trip there was with the wind. It took 12 hours. The trip back was into the wind. The trip back took 18 hours. Find the spee

Question 888990: A plane traveled 1512 miles to Ankara and back. The trip there was with the wind. It took 12 hours. The trip back was into the wind. The trip back took 18 hours. Find the speed of the plane in still air and the speed of the wind.
wind = 756/18 = 42
plane = 756/12 + 42 = 105
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A plane traveled 1512 miles to Ankara and back. The trip there was with the wind. It took 12 hours. The trip back was into the wind. The trip back took 18 hours. Find the speed of the plane in still air and the speed of the wind.
***
let x=speed of plane in still air
let c=speed of wind
(x+c)=speed of plane with wind
(x-c)=speed of plane against wind
distance/speed=travel time
..
1512/(x+c)=12
1512/(x-c)=18
..
12x+12c=1512
18x-18c=1512
..
36x+36c=4536(mult. by 3)
36x-36c=3024(mult. by 2)
add
72x=7560
x=105
12c=1512-12x=252
c=21
speed of plane in still air=105 mph
speed of wind=21 mph

RELATED QUESTIONS
A plane traveled 580 miles to Ankara and back. The trip there was with the wind. It... (answered by scott8148)

A plane ttaveled 580 miles to Ankara and back. The trip there was with the wind. I t took (answered by mananth)

A plane traveled 630 miles to Baltimore and back. The trip there was with the wind. It... (answered by TimothyLamb)

A plane traveled 864 miles to Kampala and back. The trip there was with the wind. It took (answered by stanbon,solver91311)

a plane traveled 1386 miles to singapore and back. The trip there was with the wind. It (answered by josmiceli)

A plane traveled 400 miles to Rome and back. The trip there was with the wind. It took 4... (answered by josmiceli)

A plane traveled 1200 miles to Casablanca and back. The trip there was with the wind. It... (answered by lynnlo)

A plane traveled 1040 miles to Miami and back. The trip there was with the wind. It took (answered by DrBeeee)

A plane traveled 300 miles to houston and back. The trip there was with the wind. It took (answered by mananth,JLJL)