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Question

'Zara' is capable of finishing a specific task in 60 days. On the other hand, 'Armaan' takes 40% more time than 'Zara' to complete the same task, while 'Tara' takes 75% more time than 'Zara.' 'Armaan' began the work but received assistance from 'Tara' and 'Zara' every third day. Your task is to determine the total time required to complete the entire task. (Calculate approximate value )

A 49 days Correct Answer Incorrect Answer
B 20 days Correct Answer Incorrect Answer
C 65 days Correct Answer Incorrect Answer
D 8 days Correct Answer Incorrect Answer
E none of these Correct Answer Incorrect Answer

Solution

ATQ,   Time taken by ‘Armaan’ alone to complete the whole task= 1.40 × 60 = 84 days   Time taken by ‘Tara’ alone to complete the whole task = 1.75 × 60 = 105 days Total task = 420 units (LCM of 60, 84 and 105) Efficiency of ‘Armaan’ = 420/84 = 5 units per day   Efficiency of ‘Tara’ = 420/105 = 4 units per day   Efficiency of ‘Zara’ = 420/60 = 7 units per day Task completed by ‘Armaan’, ‘Tara’ and ‘Zara’ together in 3 days = 5 + 5 + 16 = 26 units   Task done by Armaan, Tara and Zara together in 48 days = 16 × 26 = 416 units  Remaining 4 units Task will be completed by Armaan alone in 4/5 days  Hence required time = 48 + (4/5) = 48.8 days or 49 days 

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