document.write( "Question 972801: One person can do a certain job in one-half hour, and another person can do the same job in one hour and ten minutes. How many minutes will they take to do the job together? \n" ); document.write( "
Algebra.Com's Answer #595108 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! One person can do a certain job in one-half hour, and another person can do the same job in one hour and ten minutes. How many minutes will they take to do the job together? \n" ); document.write( "one-half hour = .5 hours \n" ); document.write( "one hour and ten minutes = 1+10/60 = 1+1/6 = 7/6 hours \n" ); document.write( ". \n" ); document.write( "Let t = time (hours) it takes for both \n" ); document.write( "then \n" ); document.write( "t(1/.5 + 1/(7/6)) = 1 \n" ); document.write( "t(1/.5 + 6/7) = 1 \n" ); document.write( "t(1/.5 + 6/7) = 1 \n" ); document.write( "multiply both sides by 3.5 \n" ); document.write( "t(7 + 3) = 3.5 \n" ); document.write( "t(10) = 3.5 \n" ); document.write( "t = .35 hour \n" ); document.write( "or \n" ); document.write( "t = .35 *60 = 21 minutes \n" ); document.write( " \n" ); document.write( " |