Question 1041046
Let {{{ s }}} = the speed of the plane in calm air
Let {{{ w }}} = the speed of the wind
{{{ t = 5 }}} hrs is the time for flying both with and
against the wind
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Equation for flying with the wind:
(1) {{{ 2275 = ( s + w )*5 }}}
Equation for flying against the wind:
(2) {{{ 1750 = ( s - w )*5 }}}
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Add the equations:
(1) {{{ 5s + 5w = 2275 }}}
(2) {{{ 5s - 5w = 1750 }}}
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{{{ 10s = 4025 }}}
{{{ s = 402.5 }}} mi/hr
and
(1) {{{ 5s + 5w = 2275 }}}
(1) {{{ 5*402.5 + 5w = 2275 }}}
(1) {{{ 2012.5 + 5w = 2275 }}}
(1) {{{ 5w = 262.5 }}}
(1) {{{ w = 52.5 }}} mi/hr
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Check my math. Plug answers back into both equations
to verify.