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:

A 1 hour 35 minutes Correct Answer Incorrect Answer
B 1 hour 26 minutes Correct Answer Incorrect Answer
C 1 hour 20 minutes Correct Answer Incorrect Answer
D 1 hour 16 minutes Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

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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