SOLUTION: Adam, Barney and Joe carry 999 books out of the library. Adam works for 3 hours, Barney works for 4 hours and Joe works for 5 hours. They work at different speeds, with Adam carryi

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Question 1121009: Adam, Barney and Joe carry 999 books out of the library. Adam works for 3 hours, Barney works for 4 hours and Joe works for 5 hours. They work at different speeds, with Adam carrying 5 books for every 3 books Barney carries and every 2 books Joe carries. How many books did Adam carry?
Answer by Alex.33(110) About Me  (Show Source):
You can put this solution on YOUR website!
Hello.
Given their working time: 3 hrs, 4 hrs, 5 hrs.
It's apparent that the ratio between the working speeds of Mr.Adam, Mr.Barney and Mr.Joe is 5:3:2. Therefore we can interpret their working speeds as 5k, 3k, 2k, in books carried per hour. (k is a constant).

Then by the total number of books given,
5k%2A3%2B3k%2A4%2B2k%2A5=999. solve for k: k=27.(nice integer!)
Adam's books: 27*5*3=405 books.