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A is thrice as good a workman as B and takes 10 days less to do a piec

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Math Expert
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Joined: 02 Sep 2009
Posts: 58464
A is thrice as good a workman as B and takes 10 days less to do a piec  [#permalink]

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New post 30 Jan 2019, 02:56
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

91% (01:31) correct 9% (01:20) wrong based on 35 sessions

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GMAT Club Legend
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Joined: 18 Aug 2017
Posts: 5043
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
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Re: A is thrice as good a workman as B and takes 10 days less to do a piec  [#permalink]

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New post 30 Jan 2019, 03:27
1
Bunuel wrote:
A is thrice as good a workman as B and takes 10 days less to do a piece of work than B takes. B alone can do the whole work in

A. 15 days
B. 10 days
C. 9 days
D. 8 days
E. 6 days



rate of b = x
rate of a = 3 *( x-10)

so
1/3x-30 = 1/x
x= 15
IMO A
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Joined: 23 Jun 2018
Posts: 3
Re: A is thrice as good a workman as B and takes 10 days less to do a piec  [#permalink]

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New post 30 Jan 2019, 18:27
I solved it by using the answer choices.

Test 1: Let's say the answer is 9.

Statement 1: Work done by A will be (9/3) = 3 (as A is thrice good as B).
Statement 2: A takes 10 days less than B to do the work, i.e.
9-10 = -1 -> which is ≠3 (statement 1)

Test 2: Let's say the answer is 15.

Statement 1: Work done by A will be (15/3) = 5 (as A is thrice good as B).
Statement 2: A takes 10 days less than B to do the work, i.e.
15-10 = 5 -> which is = Statement 1.

Therefore, the answer is 15.
GMAT Club Bot
Re: A is thrice as good a workman as B and takes 10 days less to do a piec   [#permalink] 30 Jan 2019, 18:27
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