document.write( "Question 625696: If Timmy can fill a pool in 15 hours and Jane can fill the same pool in 25 hours, how long will it take them to fill the pool, if they work together? \n" ); document.write( "
Algebra.Com's Answer #393715 by reynard2007(52)\"\" \"About 
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Rate x Time = Amount of Work


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\n" ); document.write( "If Timmy can fill A pool in 15 hours, his rate of work is \"1%2F15\". Jane's is \"1%2F25\". Let us use x to represent the amount of time they both have to work together. Since they only have to fill 1 pool, the amount of work is equal to 1. The equation then is this:
\n" ); document.write( "\"%281%2F15%29x%2B%281%2F25%29x=1\"
\n" ); document.write( "Multiply both sides by 75 to get rid of the fractions: \"75%28%281%2F15%29x%2B%281%2F25%29x%29=75%281%29\"
\n" ); document.write( "\"5x%2B3x=75\"
\n" ); document.write( "\"8x=75\"
\n" ); document.write( "\"x=75%2F8\"
\n" ); document.write( "If they work together, they can fill the pool in 9 3/8 hours or approximately 9 hours and 23 minutes.
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