Question 955342
Working together, they will all work
the same amount of time
Let their time working together  = {{{ t }}}
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Add their rates of working to get
rate working together
{{{ 1/24 + 1/16 + 1/12 = 1/t }}}
Multiply both sides by {{{ 48t }}}
{{{ 2t + 3t + 4t = 48 }}}
{{{ 9t = 48 }}}
{{{ t = 5.333 }}}
{{{ .333*60 = 20 }}}
noon + 5 hrs + 20 min = 5:20 PM
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1st sloth charges:
{{{ 5*5.333 = 26.667 }}}
2nd sloth charges:
{{{ 10*5.333 = 53.333 }}}
3rd sloth charges:
{{{ 15*5.333 = 80 }}}
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Total charge = {{{ 26.667 + 53.333 + 80 }}}
Total charge = {{{ 160 }}}
$160.00