Question 329025
Let {{{w}}} = wind speed
Let {{{a}}} = speed of plane without wind
{{{a - w}}} = speed of plane flying into wind
{{{a + w}}} = speed of plane flying with the wind
given:
{{{450 = (a - w)*2.4167}}}
{{{630 = (a + w)*2.4167}}}
This is 2 equations with 2 unknowns so it's solvable
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Divide both sides of each by {{{2.4167}}}
{{{a - w = 450/2.4167}}}
{{{a + w = 630/2.4167}}} add the equations
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{{{2a = 1080/2.4167}}}
{{{2a = 446.890}}}
{{{a = 223.4452}}} mi/hr
and, since
{{{a + w = 630/2.4167}}}
{{{w = 260.686 - 223.4452}}}
{{{w = 37.241}}} mi/hr
The speed of the plane without wind is 223.445 mi/hr
check:
{{{450 = (a - w)*2.4167}}}
{{{450 = (223.4452 - 37.241)*2.4167}}}
{{{450 = 186.2042*2.4167}}}
{{{450 = 449.9997}}} close enough
and
{{{630 = (a + w)*2.4167}}}
{{{630 = (223.4452 + 37.241)*2.4167}}}
{{{630 = 260.6862*2.4167}}}
{{{630 = 630.0003}}} 
OK