Question
Download Solution PDFAkhil can complete a piece of work in 24 days. Shyam can complete the same piece of work in 12 days. If both of them work together, in how many days can they complete the same piece of work?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Akhil can complete a piece of work in 24 days.
Shyam can complete the same piece of work in 12 days.
Formula used:
Work rate of Akhil = 1/24 work/day
Work rate of Shyam = 1/12 work/day
Total work rate when working together = 1/24 + 1/12
Time taken to complete the work together = 1 / (Total work rate)
Calculation:
Total work rate = 1/24 + 1/12
⇒ Total work rate = 1/24 + 2/24
⇒ Total work rate = 3/24
⇒ Total work rate = 1/8
Time taken to complete the work together = 1 / (1/8)
⇒ Time taken = 8 days
∴ The correct answer is option (3).
Last updated on Jul 10, 2025
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