document.write( "Question 381380: an in-ground pool can be filled in 12 hours if water enters through a pipe alone, or in 30 hours if water enters through a hose alone. if water is entering through both the pipe and the hose, how long will it take to fill the pool?
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document.write( "PLEAASE HELP MEE!! \n" );
document.write( "
Algebra.Com's Answer #270495 by stanbon(75887) ![]() You can put this solution on YOUR website! an in-ground pool can be filled in 12 hours if water enters through a pipe alone, or in 30 hours if water enters through a hose alone. if water is entering through both the pipe and the hose, how long will it take to fill the pool? \n" ); document.write( "---- \n" ); document.write( "pipe rate = 1/12 job/hr \n" ); document.write( "hose rate = 1/30 job/hr \n" ); document.write( "Together rate = 1/x job/hr \n" ); document.write( "--------- \n" ); document.write( "Equation: \n" ); document.write( "rate + rate = together rate \n" ); document.write( "1/12 + 1/30 = 1/x \n" ); document.write( "---- \n" ); document.write( "5x + 2x = 60 \n" ); document.write( "7x = 60 \n" ); document.write( "x = 8.57 hrs. \n" ); document.write( "============================== \n" ); document.write( "x = 8 hr (0.57)60 minutes \n" ); document.write( "--- \n" ); document.write( "x = 8 hr 32 minutes (time to fill the pool when pipe and hose are used) \n" ); document.write( "=============================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "-------------------------------- \n" ); document.write( " |