document.write( "Question 98385: Jack and Jill can wash a carpet together in 1 hour and 30 minutes. Washing alone, it takes Jill 2 hours and 10 minutes to get the carpet clean. How long does it take Jack to wash the carpet by himself? \n" ); document.write( "
Algebra.Com's Answer #71531 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Jack and Jill can wash a carpet together in 1 hour and 30 minutes. Washing alone, it takes Jill 2 hours and 10 minutes to get the carpet clean. How long does it take Jack to wash the carpet by himself? \n" ); document.write( "---------------------- \n" ); document.write( "Together DATA; \n" ); document.write( "Time = 90 minutes/job ; Rate = 1/90 job/min \n" ); document.write( "------------------------------ \n" ); document.write( "Jill DATA: \n" ); document.write( "Time = 130 min/job ; Rate = 1/130 job/min \n" ); document.write( "----------------------------- \n" ); document.write( "Jack DATA; \n" ); document.write( "Time = x min/job ; Rate = 1/x job/min \n" ); document.write( "=============================== \n" ); document.write( "EQUATION: \n" ); document.write( "Jill rate + Jack Rate = Together Rate \n" ); document.write( "1/130 + 1/x = 1/90 \n" ); document.write( "(x+130)/130x = 1/90 \n" ); document.write( "130x = 90(x+130) \n" ); document.write( "130x = 90x + 90*130 \n" ); document.write( "40x = 90*130 \n" ); document.write( "x = 292.5 minutes (Time it would take Jack to do the job) \n" ); document.write( "================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |