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Bunuel
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Bunuel
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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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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