Question 1033224
Add their rates of filling
{{{ 1/13 + 1/14 = 1/t }}}
Multiply both sides by {{{ 13*14*t }}}
{{{ 14t + 13t = 182 }}}
{{{ 27t = 182 }}}
{{{ t = 6.741 }}}
{{{ .741*60 = 44.444 }}}
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With both faucets open, it takes
6 min 44 sec
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check:
{{{ 1/13 + 1/14 = 1/6.741 }}}
{{{ .07692 + .07143 = .14835 }}}
{{{ .14835 = .14835 }}}
OK