Question

lisa cut a log into 4 pieces in 6 minutes. she then cut a smaller log into 8 pieces. how long should the job have taken if she worked at the same rate she had worked when cutting the first log? show all work and prove your answer.

Answer 1

To cut a log into 4 pieces takes 3 cuts, so each cut took 2 minutes.

So to cut a log into 8 pieces requires 7 cuts.
Ignoring the fact that the smaller log should take less time for a cut,
to make the 7 cuts would then take 14 minutes.

So the total time for the 10 cuts is 20 minutes.