document.write( "Question 143464: Can you help me with this problem. Five painters can paint 5 houses in 5 days. At that rate, how many days will it take 2 painters to paint 1 house? \n" ); document.write( "
Algebra.Com's Answer #104400 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Suma can paint a room in ten hours. Bill can paint the same size room in eight hours. How long would it take if they paint the room together. \n" ); document.write( "------------------- \n" ); document.write( "Suma DATA: \n" ); document.write( "Time = 10 hrs/job ; rate = 1/10 job/hr. \n" ); document.write( "-------------------- \n" ); document.write( "Bill DATA: \n" ); document.write( "Time = 8 hrs/job ; rate = 1/8 job/hr. \n" ); document.write( "-------------------- \n" ); document.write( "Together DATA: \n" ); document.write( "Time = x hrs/job ; rate = 1/x job/hr \n" ); document.write( "================================================= \n" ); document.write( "EQUATION: \n" ); document.write( "rate + rate = together rate \n" ); document.write( "1/10 + 1/8 = 1/x \n" ); document.write( "18/80 = 1/x \n" ); document.write( "x = 80/18 \n" ); document.write( "x = 4.44 hours (time to paint the house together) \n" ); document.write( "----------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |