Question 903537
Find Joan's head start
Let {{{ d[1] }}} = Joan's head start
{{{ d[1] = 6*2 }}}
{{{ d[1] = 12 }}}
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Start a stop watch when Jim starts running
Let {{{ d }}} = distance Jim travels until they meet
Let {{{ t }}} = time in hrs until they meet
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Jim's equation:
(1) {{{ d = 8t }}}
Joan's equation:
(2) {{{ 33 - 12 - d = 6t }}}
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Substitute (1) into (2)
(2) {{{ 33 - 12 - 8t = 6t }}}
(2) {{{ 14t = 21 }}}
(2) {{{ t = 3/2 }}}
Jim runs for 1 hr and 30 min until they meet
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check:
(1) {{{ d = 8*(3/2) }}}
(1) {{{ d = 12 }}}
and
(2) {{{ 33 - 12 - d = 6*(3/2) }}}
(2) {{{ 21 - d = 9 }}}
(2) {{{ d = 12 }}}
OK