Question 719813
Let {{{ d }}} = the distance in yds that Pedro has to run
in order to catch up with Jodie
{{{ d - 13 }}} = the distance in yds that Jodie will run  
until Pedro catches her
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Start a stopwatch when Pedro leaves. 
Stop the stopwatch when Pedro catches her
Let {{{ t }}} = the time on the stopwatch in seconds 
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Jodie's equation:
(1) {{{ d - 13 = 5t }}}
Pedro's Equation:
(2) {{{ d = 6t }}}
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By substitution:
(1) {{{ 6t - 13 = 5t }}}
(1) {{{ t = 13 }}}
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(2) {{{ d = 6t }}}
(2) {{{ d = 6*13 }}}
(2) {{{ d = 78 }}}
and, also
(1) {{{ d - 13 = 5t }}}
(1) {{{ d - 13 = 5*13 }}}
(1) {{{ d = 13 + 65 }}}
(1) {{{ d = 78 }}}
OK
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Pedro has to run 78 yds to catch Jodie
It will take him 13 sec to catch her