# SOLUTION: A boys' club decides to build a cabin. The job can be done by 3 skilled workmen in 4 days or by 5 of the boys in 6 days. How long will it take if all work together? Thanks

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 Question 557107: A boys' club decides to build a cabin. The job can be done by 3 skilled workmen in 4 days or by 5 of the boys in 6 days. How long will it take if all work together? Thanks Answer by stanbon(57290)   (Show Source): You can put this solution on YOUR website!A boys' club decides to build a cabin. The job can be done by 3 skilled workmen in 4 days or by 5 of the boys in 6 days. How long will it take if all work together? ------------------- Men rates: 3/4 job per day for 3 men = 1/4 job per day for each man ---- Boy rates: 5/6 job per day for 5 men = 1/6 job per day for each boy ----- Together rate = 1/x job/day Rate + rate = together rate for 1 man and 1 boy: (3/4) + (5/6) = 1/x 18x + 20x = 24 38x = 24 x = 12/19 days/job (time to do the job together) =============== Cheers, Stan H.