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One smurf and one elf can build a treehouse together in two

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Manager
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Status: folding sleeves up
Joined: 26 Apr 2013
Posts: 159

Kudos [?]: 129 [0], given: 39

Location: India
Concentration: Finance, Strategy
GMAT 1: 530 Q39 V23
GMAT 2: 560 Q42 V26
GPA: 3.5
WE: Consulting (Computer Hardware)
Re: One smurf and one elf can build a treehouse together in two [#permalink]

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New post 26 Jun 2015, 09:48
Work done = Rate of work * Time taken

for first eq: One smurf and one elf can build a treehouse together in two hours

(S + E) 2 = 1 (a tree house = one tree house = 1 work done)
S+ E = 1/2

similarly : 1/S + 2/F = 1/2
1/E + 1/F = 1/4

Rest you can follow other posts

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Re: One smurf and one elf can build a treehouse together in two [#permalink]

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New post 09 Aug 2016, 12:40
Hello from the GMAT Club BumpBot!

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Re: One smurf and one elf can build a treehouse together in two [#permalink]

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New post 18 Aug 2017, 13:09
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: One smurf and one elf can build a treehouse together in two [#permalink]

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New post 23 Aug 2017, 10:45
Somehow I found it very difficult to digest explanations above.

Let's put it in this way.
Take total work = 1.

1. one smurf and one elf.
time = 2 hrs, rate= (1/2) rate= work/time
2. one smurf and 2 fairies
time= 2 hrs, rate= (1/2)

This implies 1 elf= 2 fairy( from 1 and 2)

3. one elf and one fairy
time= 4 hrs, rate= (1/4)
Implies rate of 3 fairies= (1/4), from above.
ie; rate of 1 fairy= (1/4)/3= (1/12)

To get combined rate of 1 smurf, 1 elf and 1 fairy,
Add rate of 1 smurf & 1 elf from 1st point with rate of 1 fairy= (1/2)+(1/12)= (7/12)

Now Time= Work/Rate= 1/ (7/12)= 12/7...

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Re: One smurf and one elf can build a treehouse together in two   [#permalink] 23 Aug 2017, 10:45

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