Question

3. (the lion and the pit: de leone quite erat in puteo). a pit was 50 handbreadths in depth: a lion climbed up the pit 1/7 handbreadth every day and fell back 1/9 handbreadth. how long would it take him to get out of the pit?

Answer 1

X = 31.5 DAYS

Original length of pit = 50 handbreadths

Distance covered by lion up = 50*1/7

Distance lion falls = 50*1/g

Distance daily cover = 50/7 - 50/g

Let X days to come up the pit

50*X [1/7-1/g] = 50

X [1/7-1/g] = 1

X = 31.5 days

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