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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
Joined: 02 Sep 2009
Posts: 52905
A is thrice as good a workman as B and takes 10 days less to do a piec  [#permalink]

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30 Jan 2019, 01:56
00:00

Difficulty:

15% (low)

Question Stats:

94% (01:23) correct 6% (00:54) wrong based on 19 sessions

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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

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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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30 Jan 2019, 02:27
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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30 Jan 2019, 17:27
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.

Re: A is thrice as good a workman as B and takes 10 days less to do a piec   [#permalink] 30 Jan 2019, 17:27
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