SOLUTION: A small plane flying into the wind takes 3 hours 20 minutes to complete flight of 960 km, flying with the wind, the same plane takes 2 hours and 30 minutes to make the same trip.
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Question 940058: A small plane flying into the wind takes 3 hours 20 minutes to complete flight of 960 km, flying with the wind, the same plane takes 2 hours and 30 minutes to make the same trip. Shag is the speed of the plane? What is the speed of the wind?
You can put this solution on YOUR website! A small plane flying into the wind takes 3 hours 20 minutes to complete flight of 960 km, flying with the wind, the same plane takes 2 hours and 30 minutes to make the same trip. Shag is the speed of the plane? What is the speed of the wind?
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let x=speed of plane with no wind
let c=speed of wind
x+c=speed of plane with wind
x-c=speed of plane against wind
travel time*speed=distance
..
3 hrs 20 min=3 1/3 hr=10/3 hr
2 hrs 30 min=2 1/2 hr=5/2 hr
..
10/3*(x-c)=960
5/2*(x+c)=960
..
10x-10c=2880
5x+5c=1920
..
10x-10c=2880
10x+10c=3840
add:
20x=6720
x=336
subtract:
-20c=-960
c=48
speed of plane with no wind=336 km/hr
speed of wind=48 km/hr
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