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# A snail, climbing a 20 feet high wall, climbs up 4 feet on

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A snail, climbing a 20 feet high wall, climbs up 4 feet on [#permalink]  19 Apr 2008, 09:34
A snail, climbing a 20 feet high wall, climbs up 4 feet on the first day but slides down 2 feet on the second. It climbs 4 feet on the third and slides down again on 2 feet on the fourth day. If this pattern continues, how many days will it take the snail to reach the top of the wall?

a) 12
b) 16
c) 17
d) 20
e) 21
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Re: snail [#permalink]  19 Apr 2008, 09:43
puma wrote:
A snail, climbing a 20 feet high wall, climbs up 4 feet on the first day but slides down 2 feet on the second. It climbs 4 feet on the third and slides down again on 2 feet on the fourth day. If this pattern continues, how many days will it take the snail to reach the top of the wall?

a) 12
b) 16
c) 17
d) 20
e) 21

It looks like he's gaining 2 feet every other day, since according to the question his elevation each day is:

Day 1 = 4 ft
Day 2 = 2 ft
Day 3 = 6 ft
Day 4 = 4 ft

I'm sure there's a way mathmetically to solve this, but I just did it by scribbling down his progress for each day beyond Day 4. I came up with:

Day 5 = 8 ft
Day 6 = 6 ft
Day 7 = 10 ft
Day 8 = 8 ft
Day 9 = 12 ft
Day 10 = 10 ft
Day 11 = 14 ft
Day 12 = 12 ft
Day 13 = 16 ft
Day 14 = 14 ft
Day 15 = 18 ft
Day 16 = 16 ft
Day 17 = 20 ft
Re: snail   [#permalink] 19 Apr 2008, 09:43
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