CAT 2023 Time and Work Question (Medium)

Question

A and B complete a certain work together in 2 days working 5 hours a day. B and C complete the same work in 4 days working 6 hours a day, C and A complete the same in 2 days working 6 hours a day. In how many days can A finish the work alone if he works for 5 hours a day?

Optima Learn · Accepted Answer

Understanding the Setup Normalizing total work 1 rate A B 1 10 per hour 2 days 5 hrs , rate B C 1 24 per hour 4 days 6 hrs , rate C A 1 12 per hour 2 days 6 hrs . Analyzing and Solving Summing all three 2 A B C 1 10 1 24 1 12 27 120 9 40, so A B C 9 80. Then A 9 80 1 24 17 240 per hour. Evaluating t

CAT 2023 Time and Work — Previous Year Question

CAT 2023

Quantitative

Time and Work

Medium

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