Question 770114
Let {{{ t }}} = time in hrs to fly from base
{{{ t + 15/60 }}} = time in hrs for return trip
Let {{{ d }}} = distance from base
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(1) {{{ d = 300t }}}
(2) {{{ d = 250*( t + .25 ) }}}
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Substitute (1) into (2)
(2) {{{ 300t = 250*( t + .25 ) }}}
(2) {{{ 300t = 250t + 62.5 }}}
(2) {{{ 50t = 62.5 }}}
(2) {{{ t = 1.25 }}}
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(1) {{{ d = 300t }}}
(1) {{{ d = 300*1.25 }}}
(1) {{{ d = 375 }}}
It flew 375 mi from it's base
check:
(2) {{{ d = 250*( t + .25 ) }}}
(2) {{{ 375 = 250*( 1.25 + .25 ) }}}
(2) {{{ 375 = 250*1.5 }}}
(2) {{{ 375 = 375 }}}
OK