document.write( "Question 489454: please help with this word problem I am having trouble understanding where to start translating numbers into ratios \r
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document.write( "1 pipe can fill a large tank in 5 hours and a smaller pipe can fill the same tank in 3 hours. How long will it take both pipes to fill the tank if they are turned on at the same time?\r
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document.write( "60 x 5 = 300 mins
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document.write( "60 x 3 = 180 mins\r
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document.write( "300 - 180 = 120 \r
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document.write( "120/60 = 2\r
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document.write( "take 2 hours to fill \r
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Algebra.Com's Answer #333669 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 1 pipe can fill a large tank in 5 hours and a smaller pipe can fill the same tank in 3 hours. How long will it take both pipes to fill the tank if they are turned on at the same time? \n" ); document.write( "-- \n" ); document.write( "1st pipe rate = 1/5 job/hr \n" ); document.write( "--- \n" ); document.write( "Smaller pipe rate = 1/3 job/hr \n" ); document.write( "---- \n" ); document.write( "Together pipe rate = 1/x job/hr \n" ); document.write( "===================================== \n" ); document.write( "Equation: \n" ); document.write( "rate + rate = together rate \n" ); document.write( "1/5 + 1/3 = 1/x \n" ); document.write( "5x + 3x = 15 \n" ); document.write( "8x = 15 \n" ); document.write( "x = 15/8 hrs = 1 hr 52.5 minutes) (time to do the job together) \n" ); document.write( "================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |