[Guest]

Let x be the number of days the snail takes to reach the top of the wall 30 ft in height.

On the last day, the snail will reach the top by traveling 6 ft upwards and there will not be any question of slipping down.

The number of remaining days excluding the last day are (x − 1). Since the snail climbs up 6 ft and slips down 2 ft while sleeping, it travels 4 ft upwards on each of these remaining days. Thus,

Distance traveled on last day + Distance traveled on remaining days = Wall height; or

6 + 4 (x − 1) = 30

On solving the above equation, we get

4 (x − 1) = 30 − 6 = 24; or

x = (24 / 4) + 1 = 7.

A snail creeps 6 ft up a wall during the daytime. After all the labor it does throughout the day, it stops to rest a while... but falls asleep!! The next morning it wakes up and discovers that it has slipped down 2 ft while sleeping.

If this happens every day, how many days will the snail take to reach the top of a wall 30 ft in height?

[Guest]

If this happens every day, how many days will the snail take to reach the top of a wall 30 ft in height?

Let x be the number of days the snail takes to reach the top of the wall 30 ft in height.

On the last day, the snail will reach the top by traveling 6 ft upwards and there will not be any question of slipping down.

The number of remaining days excluding the last day are (x − 1). Since the snail climbs up 6 ft and slips down 2 ft while sleeping, it travels 4 ft upwards on each of these remaining days. Thus,

Distance traveled on last day + Distance traveled on remaining days = Wall height; or

6 + 4 (x − 1) = 30

On solving the above equation, we get

4 (x − 1) = 30 − 6 = 24; or

x = (24 / 4) + 1 = 7.

A snail creeps 6 ft up a wall during the daytime. After all the labor it does throughout the day, it stops to rest a while... but falls asleep!! The next morning it wakes up and discovers that it has slipped down 2 ft while sleeping.

The snail will reach the top of the wall on the 7th day. On the sixth day the snail will have made it to 26ft, but will fall asleep, dropping back to 24 feet. On the 7th day the snail will crawl 6 more feet to the top of the 30ft wall.

[Prof. Templeton]

Does a day change at midnight, or is a "day" 24 hours after the snail starts his upward journey. If the former, what if the snail starts at 10:00 PM?

[Jiminy Cricket]

Does a day change at midnight, or is a "day" 24 hours after the snail starts his upward journey. If the former, what if the snail starts at 10:00 PM?

[Guest]

This has been posted multiple times with a frog in a well.

http://brainden.com/forum/index.php?showtopic=1325