Question
Download Solution PDFA works thrice as fast as B. If B can complete a work in 244 days independently, then find the number of days in which A and B can together finish the work.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A works thrice as fast as B.
B can complete the work in 244 days.
Formula used:
Work rate of A and B together = Work rate of A + Work rate of B
Work rate = 1 / Time taken
Time taken together = 1 / (Work rate of A + Work rate of B)
Calculations:
Work rate of B = \(\frac{1}{244}\)
Work rate of A = 3 × Work rate of B = \(\frac{3}{244}\)
Total work rate of A and B = \(\frac{3}{244} + \frac{1}{244} = \frac{4}{244} = \frac{1}{61}\)
Time taken together = \(\frac{1}{\frac{1}{61}} = 61\) Days
∴ The correct answer is option (2).
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