Question 962776
Let {{{ t }}} = time in hrs for the slower train
slower train:
(1) {{{ d = 35t }}}
faster train:
(2) {{{ d = 45*( t - 2 ) }}}
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Set (1) and (2) equal to each other:
{{{ 35t = 45*( t - 2 ) }}}
{{{ 35t = 45t - 90 }}}
{{{ 10t = 90 }}}
{{{ t = 9 }}}
{{{ t - 2 = 7 }}}
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(1) {{{ d = 35t }}}
(1) {{{ d = 35*9 }}}
(1) {{{ d = 315 }}}
the distance is 315 mi
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check:
(2) {{{ d = 45*( t - 2 ) }}}
(2) {{{ d = 45*7 }}}
(2) {{{ d = 315 }}}
OK