Question
Download Solution PDFA and B can do a piece of work in 43 days and 3 days, respectively. The number of days [Correct to one decimal place] required to complete the work if both A and B work together is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A can do the work in 43 days
B can do the work in 3 days
Formula used:
Time taken to complete work together = LCM of individual times
Calculation:
Total work = LCM of 43 and 3 = 129 (since 43 and 3 are co-prime)
Efficiency of A = 129/43 = 3
Efficiency of B = 129/3 = 43
Therefore, the number of days to complete the work = 129 / 46 = 2.80 days
∴ The number of days required to complete the work together = 2.8 days
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