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Jim starts climbing up a tree to get a mango 30 feet away.

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CrackverbalGMAT
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Jim starts climbing up a tree to get a mango 30 feet away. [#permalink] New post   Updated on: 01 Dec 2020, 22:28
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A
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D
E

Difficulty:

65% (hard)

Question Stats:

44% (01:31) correct 56% (01:24) wrong based on 150 sessions
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Jim starts climbing up a tree to get a mango 30 feet away.

In the first minute he climbs 3 feet, but in the next minute he slips down 1 foot. He again climbs 3 feet in the next minute and slips down 1 foot in the next. This goes on until he gets to the mango.

How long does it take him to get to the mango.


A. 15 minutes

B. 18 minutes

C. 24 minutes

D. 29 minutes

E. 30 minutes
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Official Answer
D

Originally posted by CrackverbalGMAT on 30 Nov 2020, 08:00.
Last edited by CrackverbalGMAT on 01 Dec 2020, 22:28, edited 2 times in total.
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Re: Jim starts climbing up a tree to get a mango 30 feet away. [#permalink] New post   30 Nov 2020, 09:41
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I think answer A - 15min

up and down, it takes 2mins for 2ft.

at 14 mins he would have climbed 28 ft
15th min - he would have reached the top
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Re: Jim starts climbing up a tree to get a mango 30 feet away. [#permalink] New post   30 Nov 2020, 11:02
CrackVerbalGMAT wrote:
Jim starts climbing up a tree to get a mango 30 feet away.

In the first minute he climbs 3 feet, but in the next minute he slips down 1 foot. He again climbs 3 feet in the next minute and slips down 1 foot in the next. This goes on until he gets to the mango.

How long does it take him to get to the mango.


A. 15 minutes

B. 18 minutes

C. 24 minutes

D. 29 minutes

E. 30 minutes

Jim climbs 2 foot in 2 minutes...

Thus, to climb 30 foot he requires 30/2 = 15 minutes, Answer must be (A)
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Re: Jim starts climbing up a tree to get a mango 30 feet away. [#permalink] New post   30 Nov 2020, 11:43
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Jim climbs an average of 2ft every 2 minutes.

Therefore, 28ft / 2 = 14

14 x 2 minutes = 28 minutes. The final 1 minute Jim climbs 3 feet and reaches a height of 31ft.

Therefore the answer is 29 minutes.


Answer Choice: D
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Re: Jim starts climbing up a tree to get a mango 30 feet away. [#permalink] New post   01 Dec 2020, 21:18
Bunuel
Could anyone please correct OA or explain why it is 'A' and not 'D'.
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Re: Jim starts climbing up a tree to get a mango 30 feet away. [#permalink] New post   01 Dec 2020, 22:29
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dagrawal wrote:
Bunuel
Could anyone please correct OA or explain why it is 'A' and not 'D'.


edited and corrected. It is D.
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Re: Jim starts climbing up a tree to get a mango 30 feet away. [#permalink] New post   02 Dec 2020, 10:55
Can someone please explain why its not 30 minutes??
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Re: Jim starts climbing up a tree to get a mango 30 feet away. [#permalink] New post   02 Dec 2020, 18:07
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apK98 wrote:
Can someone please explain why its not 30 minutes??


Hi apk98. It is given that Jim climbs 3 feet in 1 minute and slips down a foot in the next.

So every 2 minutes, he climbs 2 feet.

Here comes the twist. When he reaches 28 feet, he has taken 28 minutes and the last action was that he had slipped. His next action in the 29th minute would be to climb 2 m and since he climbs 3 m in the next minute, he would reach the mango in the 29th minute.

Hence Option D

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Re: Jim starts climbing up a tree to get a mango 30 feet away. [#permalink] New post   23 Feb 2022, 14:31
Write out a few of the series and you can see that at the end of every even minute the monkey has reached that same number in feet after sliding back 1 foot. 2/2, 16/16, etc.

So at the end of 28 minutes he has slid back 1 foot from 29 feet to 28 feet.

So in the 29th minute he will progress up another 3 feet to meet the top with 1 foot to spare

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Re: Jim starts climbing up a tree to get a mango 30 feet away. [#permalink] New post   23 Feb 2022, 16:33
Given: Jim starts climbing up a tree to get a mango 30 feet away.

In the first minute he climbs 3 feet, but in the next minute he slips down 1 foot. He again climbs 3 feet in the next minute and slips down 1 foot in the next. This goes on until he gets to the mango.

Asked: How long does it take him to get to the mango.

The height reached by Jim in feet = 3 -1 + 3 - 1 + 3 - 1 + ...3 >= 30
30 = 2*14 + 2

In every 2 minutes Jim climbs = 3 - 1 = 2 feet

Time required to get the mango = 2*14 + 1 = 29 minutes

IMO D
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Re: Jim starts climbing up a tree to get a mango 30 feet away. [#permalink] New post   23 Feb 2022, 19:11
Minute 1: +3
Minute 2: -1 [Total +2ft]
Minute 3: +3 [Total + 5ft]
Minute 4: -1 [Total + 4ft]
Minute 5: +3 [Total +7ft]

So on and so forth.

What I see is that on the odd minutes, it is always +2 above what the minute number is. At minute 27 he will be at 29ft and then at Minute 28, he'll be at 28ft. Therefore, at minute 29, he'll be at 31ft. Since he isn't going to drop back down after getting the mango, 29 minutes is the answer. D
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Re: Jim starts climbing up a tree to get a mango 30 feet away. [#permalink] New post   17 Sep 2023, 09:40
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Re: Jim starts climbing up a tree to get a mango 30 feet away. [#permalink]
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