Question 1103664
Let {{{ d }}} = distance from mall to house
Let {{{ t }}} = time in hrs for them both 
to arrive at the mall
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What is Lisa's head start in miles ?
Also, convert 10 min to hrs
{{{ 10/60 = 1/6 }}} hrs
{{{ d[1] = 5*(1/6) }}}
{{{ d[1] = 5/6 }}} mi
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Start a stop watch when Megan leaves the house
{{{ t }}} will be the time on the stop watch when
they both arrive at mall
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Megan's equation:
(1) {{{ d = 15t }}}
Lia's equation:
(2) {{{ d - 5/6 = 5t }}}
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Plug (1) into (2)
(2) {{{ 15t - 5/6 = 5t }}}
(2) {{{ 10t = 5/6 }}}
(2) {{{ t = 5/60 }}} hrs
convert hrs to min:
(2) {{{ (5/60)*60 = 5 }}}
It takes Megan 5 min to get to mall
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(1) {{{ d = 15t }}}
(1) {{{ d = 15*(5/60) }}}
(1) {{{ d = 75/60 }}}
(1) {{{ d = 1.25 }}}
It is 1.25 miles from house to mall
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check:
(2) {{{ d - 5/6 = 5t }}}
(2) {{{ d - 5/6 = 5*(5/60) }}}
(2) {{{ d = 25/60 + 50/60 }}}
(2) {{{ d = 75/60 }}}
(2) {{{ d = 1.25 }}}
OK