SOLUTION: a plane can travel 480 miles with the wind in two hours. It takes about 3 hours to travel the same distance against the wind. How fast can the plane go and how fast is the wind?

Question 371399: a plane can travel 480 miles with the wind in two hours. It takes about 3 hours to travel the same distance against the wind. How fast can the plane go and how fast is the wind?
How do I set this problem up to solve?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Rate*Time=DIstance
.
.
.
Let the plane speed be and the wind speed by .
With the wind,

1.
Against the wind,

2.
Add eq. 1 and eq. 2,

mph
Then from eq. 1,

mph
RELATED QUESTIONS
a plane can travel 480 mph in calm air. flying with the wind, the plane can travel 600... (answered by w_parminder)

a plane takes 3 hours to travel 1,503 miles with the wind. It can travel only 1,179 miles (answered by ankor@dixie-net.com)

``When a plane flies with the wind, it can travel 1680 miles in 4 hours. When the... (answered by Alan3354)

When a plane flies with the wind, it can travel 1680 miles in 4 hours. When the plane (answered by Alan3354,Edwin McCravy)

when a plane flies w the wind it can travel 4200 miles in 6 hours. when the plane... (answered by josmiceli,checkley79)

A small plane travels 520 miles with the wind in 3 hours, 20 mins (3 1/3 hours), the same (answered by ptaylor)

When a plane flies with the wind, it can travel 420 miles in 1.5 hours. When the plane... (answered by ankor@dixie-net.com)

When a plane flies with the wind, it can travel 920 miles in 2 hours. When the plane... (answered by josgarithmetic)

When a plane flies with the wind, it can travel 840 miles in 2 hours. When the plane... (answered by VFBundy)