CAT 2021 Time and Work Question (Hard)

Question

Amar, Akbar and Anthony are working on a project. Working together Amar and Akbar can complete the project in 1 year, Akbar and Anthony can complete in 16 months, Anthony and Amar can complete in 2 years. If the person who is neither the fastest nor the slowest works alone, the time in months he wil

Accepted Answer

Step 1 Let total work LCM of time units Amar Akbar 1 year 12 months 1 work in 12 months Akbar Anthony 16 months 1 work in 16 months Anthony Amar 24 months 1 work in 24 months Convert all to monthly work rates A K 1 12 K T 1 16 T A 1 24 Step 2 Add all three equations A K K T T A 1 12 1 16 1 24 2 A K

CAT 2021

Quantitative

Time and Work

Hard

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