document.write( "Question 790533: A tank can be filled by two pipes separately in 10 and 15 minutes respectively. When a third pipe is used simultaneously with the first two pipes, the tank can be filled in 4 minutes. How long would it take for the third pipe alone to fill the tank? \n" ); document.write( "
Algebra.Com's Answer #479173 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A tank can be filled by two pipes separately in 10 and 15 minutes respectively. When a third pipe is used simultaneously with the first two pipes, the tank can be filled in 4 minutes. How long would it take for the third pipe alone to fill the tank? \n" ); document.write( "-------- \n" ); document.write( "1st pipe rate: 1/10 job/minute \n" ); document.write( "2nd pipe rate: 1/15 job/minute \n" ); document.write( "3rd pipe rate: 1/x job/min \n" ); document.write( "Together rate: 1/4 job/min \n" ); document.write( "----- \n" ); document.write( "Equation: \n" ); document.write( "rate + rate + rate = together rate:: \n" ); document.write( "1/10 + 1/15 + 1/x = 1/4 \n" ); document.write( "------------ \n" ); document.write( "6x + 4x + 60 = 15x \n" ); document.write( "5x = 60 \n" ); document.write( "x = 12 minutes (time for the 3rd pipe to fill the tank) \n" ); document.write( "============ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============= \n" ); document.write( " |