Question
Download Solution PDFA, B and C together can complete a work in 12 days. A as well as B alone can do the same work in 36 days. In how many days can C alone complete the same work?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A, B and C together can finish the task in 12 days
A and B alone can finish the task in 36 days
Formula used:
Time taken = Total work/Efficiency
Calculation:
Total work be 36 units (lcm of 12 and 36)
A, B and C together can finish a task in 12 days
Efficiency of (A + B + C) = 36/12
= 3 units per day
Efficiency of (A) = 36/36 = 1 unit per day.
Efficiency of (B) = 36/36 = 1 unit per day.
Efficiency of C = 3 - 2 = 1 unit per day
C alone complete the same work = 36/1 = 36 days
Shortcut Trick
1-day work of (A + B + C) and (A) and (B) = (1/12) - (1/36) - (1/36) = 1/36
Total time taken by C alone = 36 days.
Last updated on Jul 16, 2025
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