document.write( "Question 53329: a,b and c can finish a job in 6 days. if b and c work together , the job will take 9 days, if a and c work together the job will take 8 days in how many days can each man working alone do the job? please show formula \n" ); document.write( "
Algebra.Com's Answer #35586 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! OK YOU ARE NOT ABLE TO SOLVE ..SEE BELOW... \n" ); document.write( "a,b and c can finish a job in 6 days \n" ); document.write( " if b and c work together , the job will take 9 days, if a and c work together the job will take 8 days in how many days can each man working alone do the job? please show formula \n" ); document.write( "A+B+C..CAN DO IN 6 DAYS ....1 JOB \n" ); document.write( "A+B+C..CAN DO IN 1 DAY......1/6 JOB........................I \n" ); document.write( "B+C..............9...........1 JOB \n" ); document.write( "B+C..............1...........1/9 JOB.........................II \n" ); document.write( "A+C..............8............1 JOB \n" ); document.write( "A+C..............1............1/8 JOB ........................III \n" ); document.write( "HENCE EQN.I - EQN.II GIVES \n" ); document.write( "A+B+C-B-C=A......1..........1/6 - 1/9 = 1/18 JOB............IV \n" ); document.write( "A CAN DO IN......1/(1/18)=18DAYS.......1 JOB......ANSWER FOR A \n" ); document.write( "EQN.I-EQN.III GIVES SIMILARLY \n" ); document.write( "A+B+C-A-C=B......1...........1/6 - 1/8 = 1/24...............V \n" ); document.write( "B CAN DO IN .....1/(1/24)=24 DAYS......1 JOB.........ANSWER FOR B \n" ); document.write( "EQN.III - EQN.IV...GIVES \n" ); document.write( "A+C-A=C...........1.........1/8 - 1/18 = 5/72 \n" ); document.write( "C CAN DO IN ......1/(5/72)=72/5=14.4 DAYS ...1 JOB....ANSWER FOR C\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "----------------------------------------------------------------- \n" ); document.write( "SEE THE FOLLOWING EXAMPLES AND TRY.IF STILL IN DIFFICULTY PLEASE COME BACK \n" ); document.write( "-------------------------------------------------------------------------------- \n" ); document.write( "A worker can cover a \n" ); document.write( "parking lot with asphalt in ten hours. With the help \n" ); document.write( "of an assistant, they can do the job in six hours. How \n" ); document.write( "long would it take the assistant, working alone, to \n" ); document.write( "cover the parking lot with asphalt? \n" ); document.write( "1 solutions \n" ); document.write( "Answer 13786 by venugopalramana(1619) About Me on \n" ); document.write( "2006-01-27 00:28:05 (Show Source): \n" ); document.write( "A worker can cover a parking lot with asphalt in ten \n" ); document.write( "hours. \n" ); document.write( "HENCE IN 1 HOUR HE CAN DO 1/10 JOB. \n" ); document.write( "With the help of an assistant, they can do the job in \n" ); document.write( "six hours. \n" ); document.write( "HENCE IN ONE HOUR BOTH (HE+ASSISTANT)CAN DO 1/6 JOB \n" ); document.write( "How long would it take the assistant, working alone, \n" ); document.write( "to cover the parking lot with asphalt \n" ); document.write( "HENCE IN 1 HOUR ASSISTANT ALONE CAN DO 1/6 - 1/10 JOB \n" ); document.write( "=(5-3)/30=2/30=1/15 JOB \n" ); document.write( "HENCE ASSISTANT ALONE CAN DO 1 JOB IN 1/(1/15) HOURS = \n" ); document.write( "15 HOURS. \n" ); document.write( "------------------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------------------------------------------------------------------ \n" ); document.write( "Answer 16715 by venugopalramana(1167) About Me on \n" ); document.write( "2006-03-12 11:04:12 (Show Source): \n" ); document.write( "need help plz...heres the question \"There are three \n" ); document.write( "friends named Allan, Bobby and Charlie. The three \n" ); document.write( "friends want to know their individual rate in \n" ); document.write( "finishing a job. Allan and Bobby can finish the job in \n" ); document.write( "42 days, Bobby and Charlie can finish the job in 31 \n" ); document.write( "days, and Allan and Charlie can finish the job in 20 \n" ); document.write( "days. Solve the rate of each individual.\" \n" ); document.write( "LET ALLAN TAKE A DAYS TO DO THE JOB ALONE \n" ); document.write( "HENCE ALLAN ALONE CAN DO IN 1 DAY 1/A JOB \n" ); document.write( "LET BOBBY TAKE B DAYS TO DO THE JOB ALONE \n" ); document.write( "HENCE BOBBY ALONE CAN DO IN 1 DAY 1/B JOB \n" ); document.write( "LET CHARLIE TAKE C DAYS TO DO THE JOB ALONE \n" ); document.write( "HENCE CHARLIE ALONE CAN DO IN 1 DAY 1/C JOB \n" ); document.write( "FROM ABOVE WE GET ... \n" ); document.write( "ALLAN AND BOBBY CAN DO IN 1 DAY ..1/A +1/B =(A+B)/AB \n" ); document.write( "JOB.. \n" ); document.write( "SO DAYS THEY TAKE TO COMPLETE THE JOB \n" ); document.write( "=AB/(A+B)=42..OR..1/A+1/B=1/42..........I BOBBY AND \n" ); document.write( "CHARLIE CAN DO IN 1 DAY ..1/B +1/C =(B+C)/BC JOB.. \n" ); document.write( "SO DAYS THEY TAKE TO COMPLETE THE JOB \n" ); document.write( "=BC/(B+C)=31..OR..1/B+1/C=1/31.........II \n" ); document.write( "ALLAN AND CHARLIE CAN DO IN 1 DAY ..1/A +1/C =(A+C)/AC \n" ); document.write( "JOB.. \n" ); document.write( "SO DAYS THEY TAKE TO COMPLETE THE JOB \n" ); document.write( "=AC/(A+C)=20..OR..1/A+1/C=1/20........III \n" ); document.write( "EQNI+EQNII+EQNIII GIVES... \n" ); document.write( "2{(1/A)+(1/B)+(1/C)}=(1/42)+(1/31)+(1/20) \n" ); document.write( "(1/A)+(1/B)+(1/C)=(1/2)*{(1/42)+(1/31)+(1/20)}.........IV \n" ); document.write( "EQN.IV-EQN.I GIVES \n" ); document.write( "1/C= \n" ); document.write( "(1/2)*{(1/42)+(1/31)+(1/20)}-1/42....OR.....C=34.2 \n" ); document.write( "DAYS \n" ); document.write( "EQN.IV-EQN.II GIVES....... \n" ); document.write( "1/A=(1/2)*{(1/42)+(1/31)+(1/20)}- \n" ); document.write( "1/31...OR......A=48.1 DAYS \n" ); document.write( "EQN.IV-EQN.III GIVES.... \n" ); document.write( "1/B=(1/2)*{(1/42)+(1/31)+(1/20)}- \n" ); document.write( "1/20....OR.....B=329.6 DAYS-------------------------------------------------------- \n" ); document.write( " \n" ); document.write( " |