document.write( "Question 1204194: One pipe alone can fill a tub in 12 minutes. Another pipe can fill it in only 8 minutes. How long would it take both piper to fill the tub \n" ); document.write( "
Algebra.Com's Answer #840289 by math_tutor2020(3817) ![]() You can put this solution on YOUR website! \n" ); document.write( "Let's say the tub has a capacity of 12*8 = 96 gallons. \n" ); document.write( "The capacity doesn't matter and you can pick any number you want.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Pipe A fills the tub in 12 minutes when working alone. \n" ); document.write( "Its unit rate is 96/12 = 8 gallons per min.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Pipe B fills the tub in 8 minutes when working alone. \n" ); document.write( "Its unit rate is 96/8 = 12 gallons per min.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The combined unit rate of both pipes is 8+12 = 20 gallons per min. \n" ); document.write( "This assumes neither pipe hinders the other.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The two pipes have a combined rate of 20 gallons per minute, and their task is to fill 96 gallons. \n" ); document.write( "time = (amount done)/(rate) \n" ); document.write( "time = 96/20 \n" ); document.write( "time = 4.8 minutes \n" ); document.write( "time = 4 min + 0.8 min \n" ); document.write( "time = 4 min + (0.8*60) sec \n" ); document.write( "time = 4 min + 48 sec\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Or we could have this conversion \n" ); document.write( "4.8 min = 4.8*60 = 288 seconds \n" ); document.write( " \n" ); document.write( " |