SOLUTION: Flying against the wind, an airplane travels 3640 km in 7 hours. Flying with the wind, the same plane travels 6000 km in 6hrs. What is the rate of the plane in still air and what i

Question 376373: Flying against the wind, an airplane travels 3640 km in 7 hours. Flying with the wind, the same plane travels 6000 km in 6hrs. What is the rate of the plane in still air and what is the rate of the wind?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Flying against the wind, an airplane travels 3640 km in 7 hours. Flying with the wind, the same plane travels 6000 km in 6hrs. What is the rate of the plane in still air and what is the rate of the wind?
...
against the wind, an airplane travels 3640 km in 7 hours.
with the wind, the same plane travels 6000 km in 6hrs.
...
let speed of plane in still air be x mph
speed of wind be y mph.
..
t=d/r
..
against wind speed = x-y mph
with wond speed = x=y mph
...
3640/(x-y)=7
3640 = 7x-7y
/7
520=x-y.....................1
...
6000/x+y = 6
6000 = 6x+6y
/6
1000=x+y.....................2
...
Add (1) & (2)
2x=1520
/2
x=760 mph speed of plane in still air
...
plug value of x in 2
1000=760+y
100-760=y
240 = y
240 mph speed of wind
..
m.ananth@hotmail.ca

RELATED QUESTIONS
Flying against the wind, an airplane travels 1800 km in 3 hours. Flying with the wind,... (answered by stanbon)

Flying against the wind, an airplane travels 4200 km in 5 hours. Flying with the wind,... (answered by TimothyLamb)

Flying against the wind, an airplane travels 3950 km in 5 hours. Flying with the wind,... (answered by josgarithmetic)

I am having some difficulty with this problem below and I could use assistance! Flying (answered by stanbon)

Flying against the wind, an airplane travels 2960 km in 4 hours. Flying with the wind,... (answered by Alan3354)

Flying against the wind, an airplane travels 5100 km in 6 hours. Flying with the wind,... (answered by Finavon)

Flying against the wind, an airplane travels 3700 km in 6 hours. Flying with the wind,... (answered by ewatrrr)

Flying against the wind, an airplane travels 2790 km in 3 hours. Flying with the wind,... (answered by richwmiller)

Flying against the wind, an airplane travels 8640 km in 9 hours. Flying with the wind,... (answered by Boreal)