Question
Download Solution PDFA can finish a work in 60 days. He works at it for 15 days and then B alone finishes the remaining work in 48 days. In how much time can A and B working together finish the work?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A can finish a work = 60 days
Formula used:
Total work = efficiency × time
Calculation:
According to the question:
⇒ (A × 60) = (A × 15) + (B × 48)
⇒ (A × 45) = (B × 48)
⇒ A/B = 48/45 = 16/15
Total work = (A × 60) = 16 × 60 = 960 units
Total time taken by A and B working together = 960/(16 + 15)
⇒ 960/31
∴ The correct answer is 960/31.
Last updated on Jun 13, 2025
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