Question 1105065
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hot water tap can fill a bath in 7 minutes while a cold water tap can fill the same bath in five minitues.The drain pipe can empty the full bath in 13/3 minutes. 
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<pre>
Pipe      RATE
HOT       {{{1/7}}}
COLD      {{{1/5}}}
DRAIN     {{{-3/13}}}
</pre>



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The two taps and the drain tap are left open for 5/2 minutes after which the drain pipe is closed. How much longer will it take to fill the bath?
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x, how much time

{{{(1/7+1/5-3/13)(5/2)+(1/7+1/5)x=1}}}


Multiply left and right by 2*5*7*13, and simplify.


{{{x=2.0994}}}


x is  2 minutes 6 seconds
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