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How long would it take Joan to count the books in a small library?

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Bunuel
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How long would it take Joan to count the books in a small library? [#permalink] New post   24 Jan 2016, 05:37
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A
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E

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5% (low)

Question Stats:

90% (00:35) correct 10% (00:55) wrong based on 125 sessions
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How long would it take Joan to count the books in a small library?

(1) She counts twice as fast as Emily.
(2) Working together, Joan and Emily count the books in 26 hours.
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C
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saiesta
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Re: How long would it take Joan to count the books in a small library? [#permalink] New post   24 Jan 2016, 14:06
I believe answer C.


(1) She counts twice as fast as Emily.
J = 2E. Not sufficient
(2) Working together, Joan and Emily count the books in 26 hours.
J + E = 26. Not sufficient

Together, you can solve for J. Answer choice C.
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Re: How long would it take Joan to count the books in a small library? [#permalink] New post   25 Jan 2016, 01:38
Bunuel wrote:
How long would it take Joan to count the books in a small library?

(1) She counts twice as fast as Emily.
(2) Working together, Joan and Emily count the books in 26 hours.


combines Rate (R) = RJ + RE; RJ=Joan rate & RE=Emily rate

1) RJ=2RE ......Ins

2)Combines Rate= 1/26....ins

Combined 1& 2

RJ+RE=1/26....> 1/26= RJ+ 1/2 (RE)..............Suf

Answer: C
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Re: How long would it take Joan to count the books in a small library? [#permalink] New post   25 Jan 2016, 13:33
Bunuel wrote:
How long would it take Joan to count the books in a small library?

(1) She counts twice as fast as Emily.
(2) Working together, Joan and Emily count the books in 26 hours.


One C for me.
(1) We did not know how long Emily took to count the books in the lib --> insufficient.
(2) We did not know the rate between Emily and Joan in counting the books--> insufficient.
(1) & (2)--> support to each other
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Re: How long would it take Joan to count the books in a small library? [#permalink] New post   04 Feb 2016, 10:35
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I am really bad at these sorts of problems so could someone check to see if this is correct?

Given that I understand that both statements together are sufficient, is the math correct?

1. She counts twice as fast as Emily.
Joans rate is \(\frac{1}{x}\) and Emilys rate is \(\frac{1}{x}*\frac{1}{2}\) because it is half of Joans

2.Working together, Joan and Emily count the books in 26 hours.

\(\frac{1}{26}=\frac{1}{x}+\frac{1}{2x}\)
\(\frac{1}{26}=\frac{3}{2x}\)
\(78=2x\)
\(x=39\)

Joans rate is \(\frac{1}{39}\) and Emilys rate is \(\frac{1}{78}\)
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Re: How long would it take Joan to count the books in a small library? [#permalink] New post   17 Oct 2018, 10:25
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Re: How long would it take Joan to count the books in a small library? [#permalink]
17 Oct 2018, 10:25
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