<PRE><B>Question 897558</B>
Let  {{{ t[1] }}} = the time in hrs to get from A to B
Let {{{ d }}} = the distance from A to B
Let {{{ t[2] }}} = actual time spent driving from B to C
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Equation for A to B:
{{{ d = 50t[1] }}}
Equation for B to C:
{{{ 2d = 60t[2] }}}
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also,
11 AM to 1:43 PM is
{{{ 2 }}} hrs + {{{ 43/60 }}} hrs
{{{ 43/60 = .7167 }}} hrs, so
{{{ 2.7167 }}} hrs
{{{ t[1] + t[2] = 2.7167 - .5 }}}
{{{ t[1] + t[2] = 2.2167 }}} hrs
{{{ t[2] = 2.2167 - t[1] }}}
----------------------
{{{ 2d = 60*( 2.2167 - t[1] ) }}}
{{{ 2d = 133 - 60t[1] }}}
By substitution:
{{{ 2*( 50t[1] ) = 133 - 60t[1] }}}
{{{ 100t[1] = 133 - 60t[1] }}}
{{{ 160t[1] = 133 ]]]
[[[ t[1] = .83125 }}}
and
{{{ d = 50t[1] }}}
{{{ d = 50*.83125 }}}
{{{ d = 41.5625 }}}
and
{{{ 2d = 83.125 }}}
{{{ d + 2d = 124.6875 }}}
You drove 124.6875 miles
check:
{{{ t[2] = 2.2167 - t[1] }}}
{{{ t[2] = 2.2167 - .83125 }}}
{{{ t[2] = 1.38545 }}}
and
{{{ 2d = 60t[2] }}}
{{{ 83.125 = 60*1.38545 }}}
{{{ 83.125 = 83.127 }}}
close enough




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