document.write( "Question 566089: One dran can empty pool in 20 hours, another in 25. If both drains work, how long to empty pool? \n" ); document.write( "
Algebra.Com's Answer #366122 by ptaylor(2198) You can put this solution on YOUR website! Let x=time required for both drains working together to drain the pool \n" ); document.write( "Then both drains working together drains at the rate of 1/x pool per hour \n" ); document.write( "One drain drains at the rate of 1/20 pool per hour \n" ); document.write( "Another drains at the rate of 1/25 pool per hour\r \n" ); document.write( "\n" ); document.write( "Together they drain at the rate of 1/20 + 1/25 pool per hour, soooo\r \n" ); document.write( "\n" ); document.write( "1/20+1/25=1/x multiply each term by 100x \n" ); document.write( "5x+4x=100 \n" ); document.write( "9x=100 \n" ); document.write( "x=11.11 hours\r \n" ); document.write( "\n" ); document.write( "CK \n" ); document.write( "In 11.11 hours one drains drains 11.11/20 of the pool \n" ); document.write( "The other drains 11.11/25 of the pool \n" ); document.write( "11.11/20 + 11.11/25 needs to equal 1 (1 pool, that is) \n" ); document.write( "55.55/100 + 44.44/100=99.99/100 Close enough\r \n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( " |