$If [4 - \frac{5}{1 + \frac{1}{3 + \frac{1}{2 + \frac{1}{4}}}}]$ ${\text{If }}\left[ {4 - \frac{5}{{1 + \frac{1}{{3 + \frac{1}{{2 + \frac{1}{4}}}}}}}} \right]$ part of a journey takes ten minutes, then to complete $\frac{3}{5}$ $\frac{3}{5}$ th of that journey, it will take = ?

140 minutes
245 minutes
348 minutes
436 minutes

Answer:- 1

Explanation:-

Solution:

\begin{aligned} According to question \\ [4 - \frac{5}{1 + \frac{1}{3 + \frac{1}{2 + \frac{1}{4}}}}] \\ = 4 - \frac{5}{1 + \frac{1}{3 + \frac{1}{\frac{9}{4}}}} \\ = 4 - \frac{5}{1 + \frac{1}{3 + \frac{4}{9}}} \\ = 4 - \frac{5}{1 + \frac{1}{\frac{31}{9}}} \\ = 4 - \frac{5}{1 + \frac{9}{31}} \\ = 4 - \frac{5}{\frac{40}{31}} \\ = 4 - \frac{5 \times 30}{40} \\ = 4 - \frac{31}{8} \\ = \frac{1}{8} \\ According to question \\ \frac{1}{8} part  =  10 minutes \\ 1 part  =  10 minutes \\ \frac{3}{5} part  =  80 \times \frac{3}{5} \\ =  48 minutes \end{aligned}

$\eqalign{ & {\text{According to question}} \cr & \,\,\,\left[ {4 - \frac{5}{{1 + \frac{1}{{3 + \frac{1}{{2 + \frac{1}{4}}}}}}}} \right] \cr & = 4 - \frac{5}{{1 + \frac{1}{{3 + \frac{1}{{\frac{9}{4}}}}}}} \cr & = 4 - \frac{5}{{1 + \frac{1}{{3 + \frac{4}{9}}}}} \cr & = 4 - \frac{5}{{1 + \frac{1}{{\frac{{31}}{9}}}}} \cr & = 4 - \frac{5}{{1 + \frac{9}{{31}}}} \cr & = 4 - \frac{5}{{\frac{{40}}{{31}}}} \cr & = 4 - \frac{{5 \times 30}}{{40}} \cr & = 4 - \frac{{31}}{8} \cr & = \frac{1}{8} \cr & {\text{According to question}} \cr & \frac{1}{8}{\text{part = 10 minutes}} \cr & {\text{1 part = 10 minutes}} \cr & \frac{3}{5}{\text{ part = 80}} \times \frac{3}{5} \cr & {\text{ = 48 minutes}} \cr}$