Question 1150597
Let {{{ s }}} = the speed of plane in mi/hr with no wind
Let {{{ w }}} = the wind speed in mi/hr
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{{{ 5.25 - .75 = 9/2 }}} hrs
{{{ 6 + 35/60 - 45/60 = 35/6 }}} hrs
Flying with the wind:
(1) {{{ 2468 = ( s + w )*(9/2) }}}
Flying against the wind:
(2) {{{ 2468 = ( s - w )*( 35/6 ) }}}
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(1) {{{ s + w = 548.444 }}}
(2) {{{ s - w = 423.086 }}}
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{{{ 2s = 971.53 }}}
{{{ s = 485.765 }}}
and
(1) {{{ s + w = 548.444 }}}
(1) {{{ 485.765 + w = 548.444 }}}
(1) {{{ w = 62.679 }}}
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The plane's speed with no wind is 485.765 mi/hr
The wind speed is 62.679 mi/hr
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check:
(1) {{{ 2468 = ( s + w )*(9/2) }}}
(1) {{{ 2468 = ( 485.765 + 62.679 )*(9/2) }}}
(1) {{{ 2468 = 548.444*4.5 }}}
(1) {{{ 2468 = 2467.998 }}}
and
(2) {{{ 2468 = ( s - w )*( 35/6 ) }}}
(2) {{{ 2468 = ( 485.765 - 62.679 )*( 35/6 ) }}}
(2) {{{ 2468 = 423.086*5.8333 }}}
(2) {{{ 2468 = 2468.002 }}}
Close enough
OK