Question 856459: An airplane, flying with a tail wind, travels 1240 miles in 2 hours. The return trip, against the wind, takes
2.5 hours.
Find the cruising speed of the plane and the speed of the wind (assume that both rates are constant).
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! An airplane, flying with a tail wind, travels 1240 miles in 2 hours. The return trip, against the wind, takes
2.5 hours.
Find the cruising speed of the plane and the speed of the wind (assume that both rates are constant
***
let x=cruising speed of plane(speed of plane in still air)
let c=speed of wind
x+c=speed of plane with the wind
x-c=speed of plane against the wind
travel time=distance/speed
..
1240/(x+c)=2
1240/(x-c)=2.5
..
2x+2c=1240
2.5x-2.5c=1240
..
5x+5c=3100
5x-5c=2480
add
10x=5580
x=558
2c=1240-2x=124
c=62
..
cruising speed of plane=558 mph
speed of wind=62 mph
|
|
|
