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
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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
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
