document.write( "Question 535966: How long will it take to fill a reservoir with intake pipes A and B.If the reservoir can be filled by A alone in 5 days and B alone in 3 days?
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Algebra.Com's Answer #352038 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! Pipe A can do it in 5 days, so it does 1/5 per day. \n" ); document.write( "Pipe B can do it in 3 days, so it does 1/3 per day. \n" ); document.write( "x = number of days working together. \n" ); document.write( ". \n" ); document.write( "(1/5+1/3)*x = 1 full reservoir \n" ); document.write( ". \n" ); document.write( "(3/15 + 5/15)*x = 1 \n" ); document.write( ". \n" ); document.write( "8/15 * x = 1 \n" ); document.write( ". \n" ); document.write( "8x = 15 \n" ); document.write( ". \n" ); document.write( "x = 15/8 = 1 7/8 days to fill the reservoir working together. \n" ); document.write( ". \n" ); document.write( "To check, determine how much of the job each can do in 15/8 days. \n" ); document.write( "1/5*15/8 = 3/8 \n" ); document.write( "1/3*15/8 = 5/8 \n" ); document.write( "3/8 + 5/8 = 1 \n" ); document.write( "Correct. \n" ); document.write( " |