SOLUTION: A small plane travels 520 miles with the wind in 3 hours, 20 mins (3 1/3 hours), the same time that it takes to travel 460 miles against the wind. what is the plane's speed in stil

Question 195283This question is from textbook
: A small plane travels 520 miles with the wind in 3 hours, 20 mins (3 1/3 hours), the same time that it takes to travel 460 miles against the wind. what is the plane's speed in still air? This question is from textbook

Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Distance(d) equals Rate(r) times Time(t) or d=rt; r=d/t and t=d/r
Let r=speed of plane in still air
And let w=windspeed
(With the wind, we add windspeed, against, we subtract)
r+w=520/(3 1/3)=520/(10/3)=1560/10=156 mph-----eq1
r-w=460/(3 1/3)=460/(10/3)=1380/10=138 mph---eq2
add eq1 and eq2
2r=294
r=147 mph-------------speed of plane in still air
substitute into eq1
147+w=156
w=156-147=9 mph ------speed of wind
CK
520/156=3 1/3 hr
460/138=3 1/3 hr
Hope this helps---ptaylor

RELATED QUESTIONS
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)

A plane flies 460 mph in calm air. Flying with the wind, the plane can travel 1560 miles... (answered by macston)

A small model plane travels 5 miles with the wind in the same amount of time as it takes... (answered by checkley71,scott8148)

A small airplane can travel 210 mph in still air. The plane can fly 520 miles with the... (answered by greenestamps,mananth)

Please help me set this up in an equations and solve. I am terrible at word problems.... (answered by mananth,Edwin McCravy)

My brain is fried studying for finals and I'm stumped on 2 word problems that are... (answered by Alan3354)

It takes 2 hours for a small plane to travel 390 miles with the wind. Going against the... (answered by hamsanash1981@gmail.com)

Assume that a plane is flying at a constant speed under unvarying wind conditions.... (answered by josmiceli)

A plane travels 3000 miles in 6 hours when flying into the wind. When flying with the... (answered by josgarithmetic)