document.write( "Question 1038097: A andB together can do a piece of work in 15days . IfA's one day work is 3/2 times one days work of B. Find in how many days can each do the work.?\r
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Algebra.Com's Answer #652794 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A and B together can do a piece of work in 15days . If A's one day work is 3/2 times one days work of B. Find in how many days can each do the work.? \n" ); document.write( "----- \n" ); document.write( "Let B's time to do the job alone be \"x\", \n" ); document.write( "then A does the job in x/(3/2) = 2x/3 days \n" ); document.write( "----------------------------------------- \n" ); document.write( "Together rate:: 1/15 job/hr \n" ); document.write( "A's rate:: 1/(2x/3) = 3/(2x) job/hr \n" ); document.write( "B's rate:: 1/x job/hr \n" ); document.write( "---- \n" ); document.write( "Equation:: \n" ); document.write( "rate + rate = together rate \n" ); document.write( "1/x + 3/(2x) = 1/15 \n" ); document.write( "30 + 45 = 2x \n" ); document.write( "x = 75/2 = 37.5 days (time for B to do the job alone) \n" ); document.write( "2x/3 = (2/3)(37.5) = 25 days (time for A to do the job alone) \n" ); document.write( "------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "-------------\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |