A works twice as fast as B. If B can complete a piece of work independ : Problem Solving (PS)

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A works twice as fast as B. If B can complete a piece of work independ

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A works twice as fast as B. If B can complete a piece of work independ [#permalink]

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30 Jan 2019, 02:02

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15% (low)

Question Stats:

86% (00:50) correct

14% (00:38) wrong

based on 36 sessions

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A works twice as fast as B. If B can complete a piece of work independently in 12 days, then the number of days taken by A and B together to finish the work is:

A. 4
B. 6
C. 8
D. 9
E. 10

Spoiler: OA

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Re: A works twice as fast as B. If B can complete a piece of work independ [#permalink]

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30 Jan 2019, 02:26

Since A is twice as efficient as B; A takes 6 days to finish a job.

Together = 1/6+1/12 = 3/12 = 4 days.

A is the answer.
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Re: A works twice as fast as B. If B can complete a piece of work independ [#permalink]

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30 Jan 2019, 02:35

Bunuel wrote:

A works twice as fast as B. If B can complete a piece of work independently in 12 days, then the number of days taken by A and B together to finish the work is:

A. 4
B. 6
C. 8
D. 9
E. 10

rb=x/12

ra=2 * rb = x/6
together
x/6+x/12 =
x=4
IMO A
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Re: A works twice as fast as B. If B can complete a piece of work independ [#permalink]

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01 Feb 2019, 18:08

Bunuel wrote:

A works twice as fast as B. If B can complete a piece of work independently in 12 days, then the number of days taken by A and B together to finish the work is:

A. 4
B. 6
C. 8
D. 9
E. 10

We can see that the rate of B = 1/12, and hence the rate of A = 2 x 1/12 = 1/6. Thus, their combined rate is:

1/6 + 1/12 = 2/12 + 1/12 = 3/12 = 1/4.

So it will take 4 days to complete the job when working together.

Answer: A
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Re: A works twice as fast as B. If B can complete a piece of work independ [#permalink]

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01 Feb 2019, 20:05

Bunuel wrote:

A works twice as fast as B. If B can complete a piece of work independently in 12 days, then the number of days taken by A and B together to finish the work is:

A. 4
B. 6
C. 8
D. 9
E. 10

rate of B rB = W/12

rate of A rA = W/6

rB + rA = W/x

W/12 + W/6 = W/x

x = 4

A
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