Question 974954
Let {{{ s }}} = the speed of the jet in still air
Let {{{ w }}} = the speed of the wind
{{{ s - w }}} = the speed of the jet traveling against the wind
{{{ s + w }}} = the speed of the jet traveling with the wind
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(1) {{{ 3285 = ( s - w )*5 }}}
(2) {{{ 3735 = ( s + w )*5 }}}
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(1) {{{ 3285 = 5s - 5w }}}
(2) {{{ 3735 = 5s + 5w }}}
Add the equations
{{{ 7020 = 10s }}}
{{{ s = 702 }}}
and
(2) {{{ 3735 = 5s + 5w }}}
(2) {{{ 747 = s + w }}}
(2) {{{ w = 747 - 702 }}}
(2) {{{ w = 45 }}}
The speed of the jet in still air is 702 mi/hr
The speed of the wind is 45 mi/hr
check:
(1) {{{ 3285 = ( s - w )*5 }}}
(1) {{{ 3285 = ( 702 - 45 )*5 }}}
(1) {{{ 3285 = 657*5 }}}
(1) {{{ 3285 = 3285 }}}
OK
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