Question 323498
Let P be the plane speed in still air, W be the wind speed.
Rate*Time=Distance
{{{(P+W)3=1500}}}
1.{{{P+W=500}}}
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{{{(P-W)(10/3)=1500}}}
2.{{{P-W=450}}}
Add eq. 1 and eq. 2 to eliminate W.
{{{P+W+P-W=500+450}}}
{{{2P=950}}}
{{{P=475}}}mph
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Then use either equation to solve for W.
{{{475+W=500}}}
{{{W=25}}}mph