SOLUTION: It takes 40 minutes to cut a log into 5 pieces. How long would it take to cut a similar log into ten pieces?

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Question 172804: It takes 40 minutes to cut a log into 5 pieces. How long would it take to cut a similar log into ten pieces?
Found 2 solutions by Mathtut, colliefan:
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
this is a direct proportion problem
:
5/40=10/x.....cross multiply and solve for x
:
5x=400
:
highlight%28x=80%29minutes

Answer by colliefan(242) About Me  (Show Source):
You can put this solution on YOUR website!
Cutting a log into 5 pieces requires 4 cuts. See the diagram below and imagine the line as the log.
__________________________________________
_______ _________ _________ _________ ________
Assuming that the entire time of cutting the log into pieces is the time to make the cuts, it takes 40 minutes to make 4 cuts or 10 minutes per cut.

To cut the log into 10 pieces requires 9 cuts.
_____ _____ _____ _____ _____ _____ _____ _____ _____ _____

If each cut takes 10 minutes, it should take 90 minutes.