document.write( "Question 445549: Jake can complete a job in 5 hours while Jerry can complete the same job in 3 hours.
\n" );
document.write( "a) How long would it take to complete the job if both Jerry and Jake worked
\n" );
document.write( "together?
\n" );
document.write( "b) How long would it take to complete the job if Jake starts the job two hours before
\n" );
document.write( "Jerry joins him?\r
\n" );
document.write( "\n" );
document.write( "I don't know how to set either question up \n" );
document.write( "
Algebra.Com's Answer #306916 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Jake can complete a job in 5 hours while Jerry can complete the same job in 3 hours. \n" ); document.write( "a) How long would it take to complete the job if both Jerry and Jake worked \n" ); document.write( "together? \n" ); document.write( "Jake rate = 1/5 job/hr \n" ); document.write( "Jerry rate = 1/3 job/hr \n" ); document.write( "Together rate = 1/x job/hr \n" ); document.write( "------ \n" ); document.write( "Equation: \n" ); document.write( "rate + rate = together rate \n" ); document.write( "1/5 + 1/3 = 1/x \n" ); document.write( "3x + 5x = 15 \n" ); document.write( "8x = 15 \n" ); document.write( "x = 15/8 = 1 7/8 hrs = 1hr+(5/8)60 min = 1hr 52.5 minutes \n" ); document.write( "============================================================== \n" ); document.write( "b) How long would it take to complete the job if Jake starts the job two hours before Jerry joins him? \n" ); document.write( "--- \n" ); document.write( "Jake will complete 2(1/5) = 2/5 of the job. \n" ); document.write( "----- \n" ); document.write( "Solve: \n" ); document.write( "(1/5)x + (1/3)x = 3/5 job \n" ); document.write( "---- \n" ); document.write( "3x + 5x = 9 \n" ); document.write( "8x = 9 \n" ); document.write( "x = 9/8 hrs = 1 hr 7.5 minutes \n" ); document.write( "================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |