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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