Question : If $[4-\frac{5}{1+\frac{1}{3+\frac{1}{2+\frac{1}{4}}}}]$ part of a journey takes 10 minutes, then to complete $\frac{3}{5}$ th of a journey, it will take:
Option 1: 40 minutes
Option 2: 45 minutes
Option 3: 48 minutes
Option 4: 50 minutes
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Correct Answer: 48 minutes
Solution :
Given:
$[4-\frac{5}{1+\frac{1}{3+\frac{1}{2+\frac{1}{4}}}}]$
= $[4-\frac{5}{1+\frac{1}{3+\frac{4}{9}}}]$
= $[4-\frac{5}{1+\frac{9}{31}}]$
= $[4-\frac{5×31}{40}]$
= $\frac{1}{8}$
So, $\frac{1}{8}$th journey takes 10 minutes.
Therefore, $\frac{3}{5}$th journey takes $10×8×\frac{3}{5}=48$ minutes
Hence, the correct answer is 48 minutes.
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