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Question 156726: Im having trouble with one question on my homework, i've tried different methods and I am not getting the right answer. The question is "A small plane flying into the wind takes 3h20mins to complete a flight of 960km. Flying with the wind, the same plane takes 2h30mins to make the trip. What is the speed of the plane? What is the speed of the wind?
I know i have to make 2 equations and use the elmination method to solve for the speed of the wind and plane, but I dont know how to express the time since theres hours and minutes. I've tried using fractions and im still not getting the right answer, and i've tried converting the 3hr20 or 2hr30min into minutes. So far the equation i have is
"Let p stand for the speed of the plane"
"Let w stand for the speed of the wind"
960= (p-w) [time it took, but i dont know how to express it]
960=(p+w) [time it took, but i dont know how to express it]
please help me with this question as soon as possible. Thank you so much =)
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! A small plane flying into the wind takes 3h20mins to complete a flight of 960km. Flying with the wind, the same plane takes 2h30mins to make the trip. What is the speed of the plane? What is the speed of the wind?
.
Let p = speed of plane
and w = speed of wind
.
Then, from the distance formula:
d = rt
where
d is distance
r is rate or speed
t is time
.
Start by converting the times given to hours (60 mins per hour):
3h20mins = 3+20/60 = 3.333 hours
2h30mins = 2+30/60 = 2.5 hours
.
against wind:
960= (p-w)3.333
960= (p+w)2.5
.
Can you complete it from here?
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