Question 1116864
Let {{{ t }}} = Ty's time in hrs to walk {{{ 30 }}} mi.
when he walks at rate {{{ r }}} in mi/hr
{{{ t + 3 }}} = Carlos's time to do this
--------------------------------------------
Carlos's rate is {{{ 30/( t + 3 ) }}}
Double this rate is {{{ 60/( t+3 ) }}}
Carlos's time at this rate is {{{ t - 2 }}}
--------------------------------------------
Ty's equation:
{{{ 30 = r*t }}}
{{{ r = 30/t }}}
Carlos's equation:
{{{ 30 = ( 60/( t+3 ) )*( t - 2 ) }}}
{{{ 30*( t+3 ) = 60*( t - 2 ) }}}
{{{ t + 3 = 2*( t - 2 ) }}}
{{{ t + 3 = 2t - 4 }}}
{{{ t = 7 }}}
--------------------
Ty's rate is:
{{{ r = 30/t }}}
{{{ r = 30/7 }}} mi/hr
----------------------
Carlos's rate is:
{{{ 30/ ( t + 3 ) = 30/( 7 + 3 ) }}}
{{{ 30/10  = 3 }}} mi/hr
----------------------------------
check:
Double Carlos's pace is {{{ 6 }}} mi/hr
Two hrs less tiome than Ty is {{{ 7 - 2 = 5 }}} hrs
{{{ 30 = 6*5 }}}
OK