Algebra.Com's Answer #853573 by ikleyn(53619)![\"\"](\"/images/stars/stars-13.gif\")  
You can put this solution on YOUR website!
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document.write( "Carlo can type a manuscript for 10 hours. He started working then Bobby joined him 2 hours later.
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document.write( "they worked together for 4 hrs until Carlo decided to stop and then Bobby had to finish the manuscript alone.
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document.write( "if Bobby finished the remaining portion in 6 more hours, how long can he type the whole manuscript working alone?
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document.write( " To this problem, I will give two solutions: first Arithmetic and the second Algebra.\r
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document.write( " Arithmetic solution\r\n" );
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document.write( "Carlo's rate of work is 1/10 of the job per hour.\r\n" );
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document.write( "Carlo typed 2 hours + 4 hours = 6 hours and made  + =  of the job in 6 hours.\r\n" );
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document.write( "So, the remaining job, which was 1 - = =  , was done by Bobby.\r\n" );
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document.write( "Bobby worked 4 hours + 6 hours = 10 hours and completed of the job.\r\n" );
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document.write( "Hence, Bob's rate of work was  =  =  =  .\r\n" );
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document.write( "It means that Bobby takes 25 hours to print the entire manuscript alone. ANSWER\r\n" );
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document.write( " Algebra solution\r\n" );
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document.write( "Carlo's rate of work is 1/10 of the job per hour.\r\n" );
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document.write( "Let 'b' be the Bobby's rate of work. It is unknown value now, for which we should set uo an equation and find it.\r\n" );
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document.write( "In 2 hours, Carlo made =  of the job.\r\n" );
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document.write( "In the next 4 hours, Carlo made = of the job.\r\n" );
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document.write( "During these 4 hours, Bobby made 4b parts of the job.\r\n" );
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document.write( "In next 6 hours, Bobby completed the job.\r\n" );
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document.write( "So, we write an equation for the whole job by summing these parts\r\n" );
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document.write( " + + 4b + 6b = 1.\r\n" );
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document.write( "Simplify and find 'b'\r\n" );
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document.write( "  + 10b = 1,\r\n" );
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document.write( " 10b = 1 - = ,\r\n" );
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document.write( " b = = = .\r\n" );
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document.write( "Hence, Bobby needs 25 hours to make the whole job working alone.\r\n" );
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document.write( "We get the same answer.\r\n" );
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document.write( "Solved in simple manner in two different ways, for your better understanding.\r
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document.write( "This my solution teaches you on how to solve joint work problems using a conception of the rate of job.\r
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document.write( "It is MUCH SIMPLER than to follow the @mananth's approach.\r
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