What will be the value after simplifying this continued fraction?
\(\frac{1}{2+\frac{1}{3+\frac{1}{1+\frac{1}{4}}}}\)
\( \frac{43}{5} \)
\( \frac{43}{19} \)
\( \frac{5}{19} \)
\( \frac{19}{43} \)
What is the value of \(\frac{\sqrt{5}+1}{\sqrt{5}-1}\)?
\(\frac{3-\sqrt{5}}{2}\)
\(\frac{\sqrt{5}}{2}\)
\(\frac{3\sqrt{5}}{2}\)
\(\frac{3+\sqrt{5}}{2}\)
Jaya and Hema can clean an apartment in 30 days. Hema and Sushma can do the same task in 40 days, while Jaya and Sushma take 60 days to do it. How many days will it take all three of them working together to clean the apartment?
15 \( \frac{2}{3} \)
\( \frac{2}{3} \)
6\( \frac{2}{3} \)
26 \( \frac{2}{3} \)