SOLUTION: Word problems are not my stong suit...please help.
A plane flies 720 mi against a steady 30-mi/hr headwind and then returns to the same point with the wind. If the entire trip
Algebra.Com
Question 103462: Word problems are not my stong suit...please help.
A plane flies 720 mi against a steady 30-mi/hr headwind and then returns to the same point with the wind. If the entire trip takes 10 h., what is the plane's speed in still air?
Answer by checkley75(3666) (Show Source): You can put this solution on YOUR website!
720/(x-30)+720/(x+30)=10
[720(x+30)+720(x-30)]/(x-30)(x+30=10
720x+600+720x-600/(x^2-900)=10
1440x/(x^2-900)=10 cross multiply
1440x=10x^2-9000
10x^2-1440x-9000=0
10(x^2-144-900)=0
10(x-150)(x+6)=0
x-150=0
x=150 mph for the plane.
proof
720/(150-30)+720/(150+30)=10
720/120+720/180=10
6+4=10
10=10
RELATED QUESTIONS
Tutor,
I only have a couple of problems left that I am having trouble with could you... (answered by stanbon)
A plane flies 720 mi. against a steady 30-mi/hr headwind and then returns to the same... (answered by Scriptor)
A plane flies 720 miles against a steady 30-mi/h headwind and then returns to a same... (answered by CrappyTutor)
A plane flies 720 miles against a steady 30 mi/hr headwind and then returns to the same... (answered by stanbon)
A plane flies 720 mi against a steady 30 mi.h headwind and then returns to the same point (answered by jim_thompson5910)
A plane flies 720 mi against a steady 30 mi.h headwind and then returns to the same point (answered by ptaylor)
Could I get some help with this word problem please?
A plane flies 720 mi against a... (answered by ptaylor)
This one if tough! I have been using the distance = rate * time but I can not figure this (answered by scott8148)
A plane flies 720 mi against a steady 30-mi/h headwind
and then returns to the same... (answered by checkley71,stanbon)