document.write( "Question 205579: Three pipes can be used to fill a tank. It is filled in 10 hours using only the first pipe,in 12 hours using only the second pipe and in 15 hours using only the third one. A pressure problem cuts the flow capacity of each pipe in half. It is then decided to use three pipes together. How long will it take to fill a tank?\r
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document.write( "(A)4 hrs (B) 5 hrs (C) 8 hrs (D) 12 hrs (E) None of these \n" );
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Algebra.Com's Answer #155195 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Three pipes can be used to fill a tank. It is filled in 10 hours using only the first pipe,in 12 hours using only the second pipe and in 15 hours using only the third one. A pressure problem cuts the flow capacity of each pipe in half. It is then decided to use three pipes together. How long will it take to fill a tank? \n" ); document.write( "--- \n" ); document.write( "Since pressure is halfed the times for each is doubled: \n" ); document.write( "----- \n" ); document.write( "1st pipe DATA: \n" ); document.write( "time = 20 hr/job ; rate = 1/20 job/hr \n" ); document.write( "------------------------ \n" ); document.write( "2nd pipe DATA: \n" ); document.write( "time = 24 hr/job ; rate = 1/24 job/hr\r \n" ); document.write( "\n" ); document.write( "------------------------ \n" ); document.write( "3rd pipe DATA: \n" ); document.write( "time = 30 hr/job ; rate = 1/30 job/hr\r \n" ); document.write( "\n" ); document.write( "------------------------- \n" ); document.write( "Together DATA: \n" ); document.write( "time = x hr/job ; rate = 1/x job/hr \n" ); document.write( "============================================ \n" ); document.write( "Equation: \n" ); document.write( "rate + rate + rate = together rate \n" ); document.write( "1/20 + 1/24 + 1/30 = 1/x \n" ); document.write( "(24*30x) + (20*30x) + (20*24x) = 20*24*30 \n" ); document.write( "x = 8 hrs. \n" ); document.write( "========================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "(A)4 hrs (B) 5 hrs (C) 8 hrs (D) 12 hrs (E) None of these \n" ); document.write( " \n" ); document.write( " |