Question

a frog is at the bottom of a 30 meter well. each day he summons enough energy for one 3 meter leap up the well. exhausted, he then hangs there for the rest of the day. at night, while he is asleep, he slips 2 meters backwards. how many days does it take him to escape from the well?

Answer 1

he frog makes progress during the day by leaping 3 meters up but then slips back 2 meters at night while asleep. So, on each day, the frog makes a net progress of 3 meters - 2 meters = 1 meter.

To escape from the 30-meter well, the frog needs to make 30 meters of net progress. Since it makes 1 meter of net progress per day, it will take the frog 30 days to escape from the well.