document.write( "Question 35286: A painter can paint a wall in 1 hours and 10 minutes, whereas his assistant can do the same size wall in 2 hours and 30 minutes. Find their work rate of the job per hour when they work together. Your answer is supposed to be a fraction. Put the answer in answer box. \n" ); document.write( "
Algebra.Com's Answer #27571 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! The formula for this kind of problem is \n" ); document.write( "t/A + t/B = 1 \n" ); document.write( "where t is the time worked together and A and B are the individual times...so for this problem, we have (in minutes) \n" ); document.write( "t/70 + t/150 = 1 \n" ); document.write( "multiply everything by 1050 to clear fractions, then solve and get \n" ); document.write( "15t + 7t = 1050 \n" ); document.write( "22t = 1050 \n" ); document.write( "t = 525/11 minutes together or in hours that would be \n" ); document.write( "t = 525/660 = 35/44 hours \n" ); document.write( "and thus their work rate is the inverse of this, meaning they work at \n" ); document.write( "44/35 jobs per hour. \n" ); document.write( " |