Question 802608
Add the rates of filling and emptying
with filling (+) and emptying(-)
Rate of filling:
( 1 tank filled ) / ( 2 hrs )
Rate of emptying:
( 1 tank emptied ) / ( 3 hrs )
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Let {{{ t }}} = time in hrs to fill the tank
{{{ 1/2 - 1/3 = 1/t }}}
Multiply both sides by {{{ 6t }}}
{{{ 3t - 2t = 6 }}}
{{{ t = 6 }}}
It will take 6 hrs to fill the tank with both taps on