Question
Arjun, Binny, and Chiku can collaborate to finish a
particular task in 12 days. Additionally, Arjun and Binny working together can complete the task in 15 days. Given that Binny is 50% more effeicient than Chiku, how many days will it take for Arjun to complete the task on their own?Solution
ATQ, Let the total work = 60 units (LCM of 12 and 15) Amount of work done by Arjun, Binny and Chiku together in one day = 60/12 = 5 units Amount of work done by Arjun and Binny together in one day = 60/15 = 4 units Amount of work done by Chikku alone in one day = 5 – 4 = 1 unit Amount of work done by Binny alone in one day = 1 × 1.50 = 1.5 units Amount of work done by Arjun alone in one day = 4 – 1.5 = 2.5 units Time taken by Arjun alone to complete the work = 60/2.5 = 24 days
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