Question 1107208
Let {{{ t }}} = Carl's time in minutes
{{{ (1/3)*t }}} = Thomas's time in minutes
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{{{ t + (1/3)*t = 9/2 }}}
( note that 4.5 = 9/2 )
{{{ t*( 1 + 1/3 ) = 9/2 }}}
{{{ (4/3)*t = 9/2 }}}
Multiply both sides by {{{ 6 }}}
{{{ 8t = 27 }}}
{{{ t = 27/8 }}}
{{{ t = 3 + 3/8 }}}
and
{{{ (3/8)*60 = 3*7.5 }}}
{{{ 3*7.5 = 22.5 }}}
It takes Carl 3 min 22.5 sec
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check the answer
{{{ (4/3)*t = 9/2 }}}
{{{ (4/3)*(27/8) = 9/2 }}}
{{{ ( 4*27)/3 = 4*9 }}}
{{{ 27/3 = 9 }}}
{{{ 27 = 27 }}}
OK