Question
If (3 - 4/(1+ 2/(3+ 1/(2+1/3))))th part of a journey
takes 45 minutes, then to complete 4/5th of that journey, it will take:Solution
(3 - 4/(1+ 2/(3+ 1/(2+1/3)))) = (3 - 4/(1+ 2/(3+ 1/(7/3))))= (3 - 4/(1+ 2/( 24/7))) = (3 - 4/(1+ 14/( 24))) = 3 - 4/((24+14)/24) = 3 - 96/38  =  9/19th part According to the question, 9/19th part = 45 1 part = 45 × 19/9 = 95 minutes 4/5 part = 95 × 4/5 = 76 minutes = 1 hour 16 minutes
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