Question 915230
let {{{ s }}} = Manuel's speed in mi/hr
{{{ 2s }}} = Raul's speed in mi/hr
Let {{{ t }}} = Raul's time in hrs
{{{ t + 2 }}} = Manuel's time in hrs
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Manuel's equation:
(1) {{{ 96 = s*( t+2 ) }}}
Raul's equation:
(2) {{{ 96 = 2s*t }}}
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(2) {{{ t = 48/s }}}
Substitute (2) into (1)
(1) {{{ 96 = s*( 48/s + 2 ) }}}
(1) {{{ 96 = 48 + 2s }}}
(1) {{{ 2s = 48 }}}
(1) {{{ s = 24 }}}
Manuel's speed is 24 mi/hr
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check:
(2) {{{ 96 = 2*24*t }}}
(2) {{{ 96 = 48t }}}
(2) {{{ t = 2 }}} 
and
(1) {{{ 96 = 24*( t+2 ) }}}
(1) {{{ 96 = 24t + 48 }}}
(1) {{{ 24t = 48 }}}
(1) {{{ t = 2 }}}
OK