Question 915620
Add their rates of printing to find
their rate printing together
{{{ 24 }}} min = {{{ 2/5 }}} hrs
{{{ 2 = 10/5 }}} hrs
{{{ 1/4 + 1/t = 1/((12/5)) }}}
{{{ 1/4 + 1/t = 5/12 }}}
Multiply both sides by {{{ 12t }}}
{{{ 3t + 12 = 5t }}}
{{{ 2t = 12 }}}
{{{ t = 6 }}}
The smaller press prints the job in 6 hrs
check:
{{{ 1/4 + 1/6 = 5/12 }}}
{{{ 3/12 + 2/12 = 5/12 }}}
{{{ 5/12 = 5/12 }}}
OK