Question
Download Solution PDFA, B and C can complete a work in 12, 15 and 20 days, respectively. How many days are required to finish the work if they work together?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Time taken by A to complete the work = 12 days
Time taken by B to complete the work = 15 days
Time taken by C to complete the work = 20 days
Formula used:
Time required to complete the work when A, B, and C work together = 1 / (Total work done by A, B, and C together in 1 day)
Calculation:
Work done by A in 1 day = 1 / 12
Work done by B in 1 day = 1 / 15
Work done by C in 1 day = 1 / 20
Total work done by A, B, and C together in 1 day = 1 / 12 + 1 / 15 + 1 / 20
Finding a common denominator:
LCM of 12, 15, and 20 = 60
Work done by A, B, and C together in 1 day = (5 + 4 + 3) / 60 = 12 / 60 = 1 / 5
Time required to complete the work = 1 / (1 / 5) = 5 days
∴ The work will be completed in 5 days if A, B, and C work together.
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