Question 901295
Let {{{ d[1] }}} = distance in miles Mike has to travel
Let {{{ d[2] }}} = distance Julie has to travel
Let {{{ t }}} = time in hours until they meet
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Mike's equation:
(1) {{{ d[1] = 2t }}}
Julie's equation:
(2) {{{ d[2] = 3t }}}
(3) {{{ d[1] + d[2] = 15 }}}
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Substitute (1) and (2) into (3)
(3) {{{ 2t + 3t = 15 }}}
(3) {{{ 5t = 15 }}}
(3) {{{ t = 3 }}} hrs
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(1) {{{ d[1] = 2t }}}
(1) {{{ d[1] = 2*3 }}}
(1) {{{ d[1] = 6 }}}
Mike and Julie will be 6 mi from 
ramp A when they meet
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check:
(2) {{{ d[2] = 3t }}}
(2) {{{ d[2] = 3*3 }}}
(2) {{{ d[2] = 9 }}}
{{{ d[1] + d[2] = 6 + 9 }}}
{{{ d[1] + d[2] = 15 }}}
OK