SOLUTION: . For the first five hours of a flight, a plane is assisted by a 100 mile per hour wind. For the next three hours, it is hindered by a 100 mile per hour wind. If the total distan
Algebra.Com
Question 602809: . For the first five hours of a flight, a plane is assisted by a 100 mile per hour wind. For the next three hours, it is hindered by a 100 mile per hour wind. If the total distance traveled is 3400 miles, how fast is the plane in windless conditions? Please show me the steps.
A. 500 mph B. 400 mph C. 300 mph D. 200 mph
E.None
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
For the first five hours of a flight, a plane is assisted by a 100 mile per hour wind. For the next three hours, it is hindered by a 100 mile per hour wind. If the total distance traveled is 3400 miles, how fast is the plane in windless conditions? Please show me the steps.
A. 500 mph B. 400 mph C. 300 mph D. 200 mph
E.None
**
let x=speed of plane in windless conditions
(x+100)=speed of plane with wind
(x-100)=speed of plane against wind
distance=speed*travel time
..
5(x+100)+3(x-100)=3400
5x+500+3x-300=3400
8x=3200
x=400 mph
ans: B
RELATED QUESTIONS
A plane with a tail wind makes its 785-mile flight in 2.5 hours. The return flight... (answered by Fombitz)
A plane with a tail wind makes its 785-mile flight in 2.5 hours. The return flight... (answered by checkley77)
A plane with a tail wind makes its 785-mile flight in 2.5 hours. The return flight... (answered by scott8148)
Can you help me with this problem: A Fly By Night Airlines plane is traveling at 600... (answered by stanbon)
a plane averaged 500 miles per hour on a 4 hour flight. For the first three hours, the... (answered by jorel1380)
A plane flies at 180 mph for the first and last half hour of a flight. It flies at a... (answered by ankor@dixie-net.com)
It took 3 hours for a plane, flying against the wind, to travel 900 miles from Alabama to (answered by stanbon,ankor@dixie-net.com)
A plane flies at 200 mph for the first and last half hour of a flight. It flies at a... (answered by josmiceli,MathTherapy)
A plane traveling with the wind can travel 2400 miles in four hours. It takes six hours... (answered by checkley77)