Question 1140971
This problem exercise is too  common.


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One hose can fill a tank and x minutes. A larger hose can fill the same tank in y minutes. How long will it take both hoses to fill the tank?
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"one hose" fill rate, {{{1/x}}}
other hose fill rate, {{{1/y}}}
Fill rate of the hose combined, sum of their rates.


{{{1/x+1/y}}}

{{{(y+x)/xy}}}


The {{{highlight(TIME)}}} to fill the tank is  {{{highlight(xy/(x+y))}}}.