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(75887) (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?
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Men rates: 3/4 job per day for 3 men = 1/4 job per day for each man
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Boy rates: 5/6 job per day for 5 men = 1/6 job per day for each boy
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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)
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Cheers,
Stan H.
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