document.write( "Question 213071: allan can finish a set of furniture in 8 days. ben can finish the same set of furniture in 6 days. if allan starts working for 2 days, and then ben joined him, in how many days will the set of furniture be finished by the two men? \n" ); document.write( "
Algebra.Com's Answer #160966 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! allan can finish a set of furniture in 8 days. ben can finish the same set of furniture in 6 days. if allan starts working for 2 days, and then ben joined him, in how many days will the set of furniture be finished by the two men? \n" ); document.write( "-------------------------------------------- \n" ); document.write( "Allan's Rate = 1/8 days/job \n" ); document.write( "----------------------------- \n" ); document.write( "Ben's Rate = 1/6 days/job \n" ); document.write( "----------------------------- \n" ); document.write( "Allan works for 2 days and finished 2(1/8) = 1/4 th of the job. \n" ); document.write( "-------- \n" ); document.write( "Equation: \n" ); document.write( "Together rate = (1/8 + 1/6) = 14/48 = 7/24 job/day \n" ); document.write( "----------------------------------------------------------- \n" ); document.write( "Let x be the number of days for allan and ben to finish 3/4 th of the job. \n" ); document.write( "-- \n" ); document.write( "x(7/24) = 3/4 \n" ); document.write( "x = (24/7)(3/4) \n" ); document.write( "x = 18/7 = 2 4/7 days \n" ); document.write( "================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |