Question 958403
What is Jessie & friends head start in miles?
{{{ d[1] = 35*(1/2) }}}
{{{ d[1] = 17.5 }}} mi
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start a stopwatch when Mom leaves at 1:30
Let {{{ t }}} = time in hrs on stopwatch
when Mom catches Jessie
Let {{{ d }}} = distance Mom travels from
home until catches Jessie
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Jessie's equation:
{{{ d - 17.5 = 35t }}}
mom's equation:
{{{ d = 40t }}}
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By substitution:
{{{ 40t - 17.5 = 35t }}}
{{{ 5t = 17.5 }}}
{{{ t = 3.5 }}} hrs
Mom left at 1:30 and took 3.5 hrs to
catch Jessie
1:30 + 3 hrs 30 min = 5:00 she catches them