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# Water lily grows at such a rate that it covers double the surface that

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Math Expert
Joined: 02 Sep 2009
Posts: 53020
Water lily grows at such a rate that it covers double the surface that  [#permalink]

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29 Jan 2019, 23:47
00:00

Difficulty:

45% (medium)

Question Stats:

33% (01:55) correct 67% (01:18) wrong based on 12 sessions

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Water lily grows at such a rate that it covers double the surface that it covered the day before. It takes 30 days for a water lily to cover the entire surface of the pond. How long would it take for two water lilies of the same size to cover the entire surface of the same pond?

A. 8.33
B. 12.5
C. 15
D. 20
E. 29

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Math Expert
Joined: 02 Sep 2009
Posts: 53020
Re: Water lily grows at such a rate that it covers double the surface that  [#permalink]

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29 Jan 2019, 23:49
Bunuel wrote:
Water lily grows at such a rate that it covers double the surface that it covered the day before. It takes 30 days for a water lily to cover the entire surface of the pond. How long would it take for two water lilies of the same size to cover the entire surface of the same pond?

A. 8.33
B. 12.5
C. 15
D. 20
E. 29

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Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8888
Location: Pune, India
Re: Water lily grows at such a rate that it covers double the surface that  [#permalink]

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30 Jan 2019, 00:02
Bunuel wrote:
Water lily grows at such a rate that it covers double the surface that it covered the day before. It takes 30 days for a water lily to cover the entire surface of the pond. How long would it take for two water lilies of the same size to cover the entire surface of the same pond?

A. 8.33
B. 12.5
C. 15
D. 20
E. 29

There is 1 water lily at the beginning.
After 1 day, there will be 2 water lilies.
After 2 days, there will be 4 water lilies.
and so on till the pond is covered in 30 days.

What happens if we start with 2 water lilies? We are at the same state as we were at the end of Day 1. So we will take another 29 days to cover the pond.
All that happens is that we save 1 day in which 1 water lily had doubled to become 2 water lilies.

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Karishma
Veritas Prep GMAT Instructor

Re: Water lily grows at such a rate that it covers double the surface that   [#permalink] 30 Jan 2019, 00:02
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