document.write( "Question 1042729: Hasan can do a job twice as fast as Jawed. Sameer can do a job as fast as Hasan and Jawed working together. If a certain job is completed in 4.5 hours by Jawed, how long it would take sameer to complete the same job?
\n" ); document.write( "A. 0.5 hour
\n" ); document.write( "B. 1 Hour
\n" ); document.write( "C. 1.5 Hours
\n" ); document.write( "D. 2 Hours
\n" ); document.write( "

Algebra.Com's Answer #657757 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Hasan can do a job twice as fast as Jawed. Sameer can do a job as fast as Hasan and Jawed working together. If a certain job is completed in 4.5 hours by Jawed, how long it would take sameer to complete the same job?
\n" ); document.write( "-----
\n" ); document.write( "Hasan DATA:
\n" ); document.write( "time = x hrs/job ; rate = 1/x job/hr
\n" ); document.write( "Jawed DATA:
\n" ); document.write( "time = 2x hrs/job ; rate = 1/(2x) job/hr
\n" ); document.write( "----
\n" ); document.write( "Sameer DATA:
\n" ); document.write( "rate = (1/x)+(1/2x) = (2x+x)/2x^2 = 3x/2x^2 = 3/(2x)
\n" ); document.write( "----------------------------------------------------
\n" ); document.write( "Equation:
\n" ); document.write( "If a certain job is completed in 4.5 hours by Jawed
\n" ); document.write( "4.5(1/(2x)) = 1 job
\n" ); document.write( "2x = 4.5
\n" ); document.write( "x = 2.25
\n" ); document.write( "------
\n" ); document.write( "Sameer time = 1/rate = (2x/3) = 2(2.25)/3 = 4.5/3 = 1.5 hrs
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "-------------\r
\n" ); document.write( "\n" ); document.write( "A. 0.5 hour
\n" ); document.write( "B. 1 Hour
\n" ); document.write( "C. 1.5 Hours
\n" ); document.write( "D. 2 Hours
\n" ); document.write( "
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